ALY6015 Week 3 Assignment Hang
This is about the single assignment on Sales Data on House it has all the code from before so I don’t have to sample them from scratch
Install the neccessary libraries
#1. Print the Name of the person and the project
print("ALY6015 Week 3:Hang Wu")## [1] "ALY6015 Week 3:Hang Wu"#Install important packages that will be imported in stage #2
# install.packages("Hmisc")
# install.packages("car")
# install.packages("corrplot")
# install.packages("function")
# install.packages("data")
# #use R 3.6.3 to use the FSA and FSAdata packages
# install.packages("FSA") #select no to compilation, this will make sure the FSA package is imported.
# install.packages("moments")
# #install.packages("rowr")
# # install.packages("ggpubr")
# install.packages("ggplot2")
# install.packages('psych')
# install.packages("formattable")
# install.packages('knitr', dependencies = TRUE)
# install.packages('FSelector')
# install.packages("corrr")
# install.packages("dplyr")
# install.packages("Hmisc")
# install.packages('mlbench')
# install.packages(c("cluster.datasets"), dependencies = TRUE)
# install.packages('caTools')
# install.packages("plotrix") # Install plotrix package
# install.packages("dlookr")
#install.packages('broom')
#install.packages('olsrr')load the file
#clean all data from the workspace
rm(list = ls())
#close all figures in R Studio
#dev.off(dev.list()["RStudioGD"])
#2.Import libraries including: FSA, FSAdata, magrittr, dplyr, plotrix, plot2, and moments
library(dplyr)##
## Attaching package: 'dplyr'## The following objects are masked from 'package:stats':
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## filter, lag## The following objects are masked from 'package:base':
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## intersect, setdiff, setequal, unionlibrary(ggplot2)
library(corrplot)## corrplot 0.92 loadedlibrary(RColorBrewer)
library(car)## Loading required package: carData##
## Attaching package: 'car'## The following object is masked from 'package:dplyr':
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## recodelibrary(MASS)##
## Attaching package: 'MASS'## The following object is masked from 'package:dplyr':
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## selectlibrary(corrplot)
library(FSAdata)## ## FSAdata v0.3.8. See ?FSAdata to find data for specific fisheries analyses.library(FSA)## Registered S3 methods overwritten by 'FSA':
## method from
## confint.boot car
## hist.boot car## ## FSA v0.9.1. See citation('FSA') if used in publication.
## ## Run fishR() for related website and fishR('IFAR') for related book.##
## Attaching package: 'FSA'## The following object is masked from 'package:car':
##
## bootCaselibrary(magrittr)
library(dplyr)
#library(tydir)
library(tidyverse)## ── Attaching packages ─────────────────────────────────────── tidyverse 1.3.1 ──## ✓ tibble 3.1.5 ✓ purrr 0.3.4
## ✓ tidyr 1.1.4 ✓ stringr 1.4.0
## ✓ readr 2.1.0 ✓ forcats 0.5.1## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## x tidyr::extract() masks magrittr::extract()
## x dplyr::filter() masks stats::filter()
## x dplyr::lag() masks stats::lag()
## x car::recode() masks dplyr::recode()
## x MASS::select() masks dplyr::select()
## x purrr::set_names() masks magrittr::set_names()
## x purrr::some() masks car::some()library(plyr)## ------------------------------------------------------------------------------## You have loaded plyr after dplyr - this is likely to cause problems.
## If you need functions from both plyr and dplyr, please load plyr first, then dplyr:
## library(plyr); library(dplyr)## ------------------------------------------------------------------------------##
## Attaching package: 'plyr'## The following object is masked from 'package:purrr':
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## compact## The following object is masked from 'package:FSA':
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## arrange, count, desc, failwith, id, mutate, rename, summarise,
## summarizelibrary(moments)
# load e1081, for kurtosis
#library(e1081)
library(grid) #used for watermark
#library(rowr)
library(psych)##
## Attaching package: 'psych'## The following object is masked from 'package:FSA':
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## logit## The following objects are masked from 'package:ggplot2':
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## %+%, alphalibrary(formattable)##
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## arealibrary(knitr)
library(FSelector)
library(moments)
library(corrr)
library("Hmisc") #use rcorr## Loading required package: lattice## Loading required package: survival## Loading required package: Formula##
## Attaching package: 'Hmisc'## The following object is masked from 'package:psych':
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## describe## The following objects are masked from 'package:plyr':
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## is.discrete, summarize## The following objects are masked from 'package:dplyr':
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## src, summarize## The following objects are masked from 'package:base':
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## format.pval, unitslibrary(cluster.datasets)
library("plotrix") # Load plotrix##
## Attaching package: 'plotrix'## The following object is masked from 'package:psych':
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## rescalelibrary(dlookr)##
## Attaching package: 'dlookr'## The following object is masked from 'package:Hmisc':
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## describe## The following object is masked from 'package:corrr':
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## correlate## The following object is masked from 'package:psych':
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## describe## The following objects are masked from 'package:moments':
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## kurtosis, skewness## The following object is masked from 'package:tidyr':
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## extract## The following object is masked from 'package:magrittr':
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## extract## The following object is masked from 'package:base':
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## transformlibrary(forcats)
library('broom')
library('olsrr')##
## Attaching package: 'olsrr'## The following object is masked from 'package:MASS':
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## cement## The following object is masked from 'package:datasets':
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## rivers#2. IMPORT the data.csv data in R,
getwd()## [1] "/Users/hangwu/Desktop/Northeastern/6015/Assignment 3"setwd("/Users/hangwu/Desktop/Northeastern/6015/Assignment 2/")
#bio <- read.csv(readLines("Gym suggestion and satisfaction Survey_October 22, 2021_23.49.csv",warn=FALSE),
# header = TRUE,
# sep=","
#)
#bank <-read.csv(file="bank-additional.csv", header = TRUE)
#df <- read.delim("https://s3.amazonaws.com/assets.datacamp.com/blog_assets/test_delim.txt", sep="$")
#Data Read and Data Cleaning
House <- read.delim("AmesHousing.csv", sep=",") #since bank data is ; delimited, read.delim is used rather than read.csv
headtail(House)## Warning: headtail is deprecated. Please use the headTail functionclass(House)## [1] "data.frame"str(House)## 'data.frame': 2930 obs. of 82 variables:
## $ Order : int 1 2 3 4 5 6 7 8 9 10 ...
## $ PID : int 526301100 526350040 526351010 526353030 527105010 527105030 527127150 527145080 527146030 527162130 ...
## $ MS.SubClass : int 20 20 20 20 60 60 120 120 120 60 ...
## $ MS.Zoning : Factor w/ 7 levels "A (agr)","C (all)",..: 6 5 6 6 6 6 6 6 6 6 ...
## $ Lot.Frontage : int 141 80 81 93 74 78 41 43 39 60 ...
## $ Lot.Area : int 31770 11622 14267 11160 13830 9978 4920 5005 5389 7500 ...
## $ Street : Factor w/ 2 levels "Grvl","Pave": 2 2 2 2 2 2 2 2 2 2 ...
## $ Alley : Factor w/ 2 levels "Grvl","Pave": NA NA NA NA NA NA NA NA NA NA ...
## $ Lot.Shape : Factor w/ 4 levels "IR1","IR2","IR3",..: 1 4 1 4 1 1 4 1 1 4 ...
## $ Land.Contour : Factor w/ 4 levels "Bnk","HLS","Low",..: 4 4 4 4 4 4 4 2 4 4 ...
## $ Utilities : Factor w/ 3 levels "AllPub","NoSeWa",..: 1 1 1 1 1 1 1 1 1 1 ...
## $ Lot.Config : Factor w/ 5 levels "Corner","CulDSac",..: 1 5 1 1 5 5 5 5 5 5 ...
## $ Land.Slope : Factor w/ 3 levels "Gtl","Mod","Sev": 1 1 1 1 1 1 1 1 1 1 ...
## $ Neighborhood : Factor w/ 28 levels "Blmngtn","Blueste",..: 16 16 16 16 9 9 25 25 25 9 ...
## $ Condition.1 : Factor w/ 9 levels "Artery","Feedr",..: 3 2 3 3 3 3 3 3 3 3 ...
## $ Condition.2 : Factor w/ 8 levels "Artery","Feedr",..: 3 3 3 3 3 3 3 3 3 3 ...
## $ Bldg.Type : Factor w/ 5 levels "1Fam","2fmCon",..: 1 1 1 1 1 1 5 5 5 1 ...
## $ House.Style : Factor w/ 8 levels "1.5Fin","1.5Unf",..: 3 3 3 3 6 6 3 3 3 6 ...
## $ Overall.Qual : int 6 5 6 7 5 6 8 8 8 7 ...
## $ Overall.Cond : int 5 6 6 5 5 6 5 5 5 5 ...
## $ Year.Built : int 1960 1961 1958 1968 1997 1998 2001 1992 1995 1999 ...
## $ Year.Remod.Add : int 1960 1961 1958 1968 1998 1998 2001 1992 1996 1999 ...
## $ Roof.Style : Factor w/ 6 levels "Flat","Gable",..: 4 2 4 4 2 2 2 2 2 2 ...
## $ Roof.Matl : Factor w/ 8 levels "ClyTile","CompShg",..: 2 2 2 2 2 2 2 2 2 2 ...
## $ Exterior.1st : Factor w/ 16 levels "AsbShng","AsphShn",..: 4 14 15 4 14 14 6 7 6 14 ...
## $ Exterior.2nd : Factor w/ 17 levels "AsbShng","AsphShn",..: 11 15 16 4 15 15 6 7 6 15 ...
## $ Mas.Vnr.Type : Factor w/ 6 levels "","BrkCmn","BrkFace",..: 6 5 3 5 5 3 5 5 5 5 ...
## $ Mas.Vnr.Area : int 112 0 108 0 0 20 0 0 0 0 ...
## $ Exter.Qual : Factor w/ 4 levels "Ex","Fa","Gd",..: 4 4 4 3 4 4 3 3 3 4 ...
## $ Exter.Cond : Factor w/ 5 levels "Ex","Fa","Gd",..: 5 5 5 5 5 5 5 5 5 5 ...
## $ Foundation : Factor w/ 6 levels "BrkTil","CBlock",..: 2 2 2 2 3 3 3 3 3 3 ...
## $ Bsmt.Qual : Factor w/ 6 levels "","Ex","Fa","Gd",..: 6 6 6 6 4 6 4 4 4 6 ...
## $ Bsmt.Cond : Factor w/ 6 levels "","Ex","Fa","Gd",..: 4 6 6 6 6 6 6 6 6 6 ...
## $ Bsmt.Exposure : Factor w/ 5 levels "","Av","Gd","Mn",..: 3 5 5 5 5 5 4 5 5 5 ...
## $ BsmtFin.Type.1 : Factor w/ 7 levels "","ALQ","BLQ",..: 3 6 2 2 4 4 4 2 4 7 ...
## $ BsmtFin.SF.1 : int 639 468 923 1065 791 602 616 263 1180 0 ...
## $ BsmtFin.Type.2 : Factor w/ 7 levels "","ALQ","BLQ",..: 7 5 7 7 7 7 7 7 7 7 ...
## $ BsmtFin.SF.2 : int 0 144 0 0 0 0 0 0 0 0 ...
## $ Bsmt.Unf.SF : int 441 270 406 1045 137 324 722 1017 415 994 ...
## $ Total.Bsmt.SF : int 1080 882 1329 2110 928 926 1338 1280 1595 994 ...
## $ Heating : Factor w/ 6 levels "Floor","GasA",..: 2 2 2 2 2 2 2 2 2 2 ...
## $ Heating.QC : Factor w/ 5 levels "Ex","Fa","Gd",..: 2 5 5 1 3 1 1 1 1 3 ...
## $ Central.Air : Factor w/ 2 levels "N","Y": 2 2 2 2 2 2 2 2 2 2 ...
## $ Electrical : Factor w/ 6 levels "","FuseA","FuseF",..: 6 6 6 6 6 6 6 6 6 6 ...
## $ X1st.Flr.SF : int 1656 896 1329 2110 928 926 1338 1280 1616 1028 ...
## $ X2nd.Flr.SF : int 0 0 0 0 701 678 0 0 0 776 ...
## $ Low.Qual.Fin.SF: int 0 0 0 0 0 0 0 0 0 0 ...
## $ Gr.Liv.Area : int 1656 896 1329 2110 1629 1604 1338 1280 1616 1804 ...
## $ Bsmt.Full.Bath : int 1 0 0 1 0 0 1 0 1 0 ...
## $ Bsmt.Half.Bath : int 0 0 0 0 0 0 0 0 0 0 ...
## $ Full.Bath : int 1 1 1 2 2 2 2 2 2 2 ...
## $ Half.Bath : int 0 0 1 1 1 1 0 0 0 1 ...
## $ Bedroom.AbvGr : int 3 2 3 3 3 3 2 2 2 3 ...
## $ Kitchen.AbvGr : int 1 1 1 1 1 1 1 1 1 1 ...
## $ Kitchen.Qual : Factor w/ 5 levels "Ex","Fa","Gd",..: 5 5 3 1 5 3 3 3 3 3 ...
## $ TotRms.AbvGrd : int 7 5 6 8 6 7 6 5 5 7 ...
## $ Functional : Factor w/ 8 levels "Maj1","Maj2",..: 8 8 8 8 8 8 8 8 8 8 ...
## $ Fireplaces : int 2 0 0 2 1 1 0 0 1 1 ...
## $ Fireplace.Qu : Factor w/ 5 levels "Ex","Fa","Gd",..: 3 NA NA 5 5 3 NA NA 5 5 ...
## $ Garage.Type : Factor w/ 6 levels "2Types","Attchd",..: 2 2 2 2 2 2 2 2 2 2 ...
## $ Garage.Yr.Blt : int 1960 1961 1958 1968 1997 1998 2001 1992 1995 1999 ...
## $ Garage.Finish : Factor w/ 4 levels "","Fin","RFn",..: 2 4 4 2 2 2 2 3 3 2 ...
## $ Garage.Cars : int 2 1 1 2 2 2 2 2 2 2 ...
## $ Garage.Area : int 528 730 312 522 482 470 582 506 608 442 ...
## $ Garage.Qual : Factor w/ 6 levels "","Ex","Fa","Gd",..: 6 6 6 6 6 6 6 6 6 6 ...
## $ Garage.Cond : Factor w/ 6 levels "","Ex","Fa","Gd",..: 6 6 6 6 6 6 6 6 6 6 ...
## $ Paved.Drive : Factor w/ 3 levels "N","P","Y": 2 3 3 3 3 3 3 3 3 3 ...
## $ Wood.Deck.SF : int 210 140 393 0 212 360 0 0 237 140 ...
## $ Open.Porch.SF : int 62 0 36 0 34 36 0 82 152 60 ...
## $ Enclosed.Porch : int 0 0 0 0 0 0 170 0 0 0 ...
## $ X3Ssn.Porch : int 0 0 0 0 0 0 0 0 0 0 ...
## $ Screen.Porch : int 0 120 0 0 0 0 0 144 0 0 ...
## $ Pool.Area : int 0 0 0 0 0 0 0 0 0 0 ...
## $ Pool.QC : Factor w/ 4 levels "Ex","Fa","Gd",..: NA NA NA NA NA NA NA NA NA NA ...
## $ Fence : Factor w/ 4 levels "GdPrv","GdWo",..: NA 3 NA NA 3 NA NA NA NA NA ...
## $ Misc.Feature : Factor w/ 5 levels "Elev","Gar2",..: NA NA 2 NA NA NA NA NA NA NA ...
## $ Misc.Val : int 0 0 12500 0 0 0 0 0 0 0 ...
## $ Mo.Sold : int 5 6 6 4 3 6 4 1 3 6 ...
## $ Yr.Sold : int 2010 2010 2010 2010 2010 2010 2010 2010 2010 2010 ...
## $ Sale.Type : Factor w/ 10 levels "COD","Con","ConLD",..: 10 10 10 10 10 10 10 10 10 10 ...
## $ Sale.Condition : Factor w/ 6 levels "Abnorml","AdjLand",..: 5 5 5 5 5 5 5 5 5 5 ...
## $ SalePrice : int 215000 105000 172000 244000 189900 195500 213500 191500 236500 189000 ...describe(House)#House = na.omit(House)
df = House
#res <- gain.ratio(g~., df)
is.na(df)## Order PID MS.SubClass MS.Zoning Lot.Frontage Lot.Area Street Alley
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## Lot.Shape Land.Contour Utilities Lot.Config Land.Slope Neighborhood
## [1,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [1218,] FALSE FALSE FALSE FALSE FALSE FALSE
## [1219,] FALSE FALSE FALSE FALSE FALSE FALSE
## Condition.1 Condition.2 Bldg.Type House.Style Overall.Qual Overall.Cond
## [1,] FALSE FALSE FALSE FALSE FALSE FALSE
## [2,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [4,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [100,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [1130,] FALSE FALSE FALSE FALSE FALSE
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## [1150,] FALSE FALSE FALSE FALSE FALSE
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## [1155,] FALSE FALSE FALSE FALSE FALSE
## [1156,] FALSE FALSE FALSE FALSE FALSE
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## [1158,] FALSE FALSE FALSE FALSE FALSE
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## [1160,] FALSE FALSE FALSE FALSE FALSE
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## [1162,] FALSE FALSE FALSE FALSE FALSE
## [1163,] FALSE FALSE FALSE FALSE FALSE
## [1164,] FALSE FALSE FALSE FALSE FALSE
## [1165,] FALSE FALSE FALSE FALSE FALSE
## [1166,] FALSE FALSE FALSE FALSE FALSE
## [1167,] FALSE FALSE FALSE FALSE FALSE
## [1168,] FALSE FALSE FALSE FALSE FALSE
## [1169,] FALSE FALSE FALSE FALSE FALSE
## [1170,] FALSE FALSE FALSE FALSE FALSE
## [1171,] FALSE FALSE FALSE FALSE FALSE
## [1172,] FALSE FALSE FALSE FALSE FALSE
## [1173,] FALSE FALSE FALSE FALSE FALSE
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## [1175,] FALSE FALSE FALSE FALSE FALSE
## [1176,] FALSE FALSE FALSE FALSE FALSE
## [1177,] FALSE FALSE FALSE FALSE FALSE
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## [1181,] FALSE FALSE FALSE FALSE FALSE
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## [1184,] FALSE FALSE FALSE FALSE FALSE
## [1185,] FALSE FALSE FALSE FALSE FALSE
## [1186,] FALSE FALSE FALSE FALSE FALSE
## [1187,] FALSE FALSE FALSE FALSE FALSE
## [1188,] FALSE FALSE FALSE FALSE FALSE
## [1189,] FALSE FALSE FALSE FALSE FALSE
## [1190,] FALSE FALSE FALSE FALSE FALSE
## [1191,] FALSE FALSE FALSE FALSE FALSE
## [1192,] FALSE FALSE FALSE FALSE FALSE
## [1193,] FALSE FALSE FALSE FALSE FALSE
## [1194,] FALSE FALSE FALSE FALSE FALSE
## [1195,] FALSE FALSE FALSE FALSE FALSE
## [1196,] FALSE FALSE FALSE FALSE FALSE
## [1197,] FALSE FALSE FALSE FALSE FALSE
## [1198,] FALSE FALSE FALSE FALSE FALSE
## [1199,] FALSE FALSE FALSE FALSE FALSE
## [1200,] FALSE FALSE FALSE FALSE FALSE
## [1201,] FALSE FALSE FALSE FALSE FALSE
## [1202,] FALSE FALSE FALSE FALSE FALSE
## [1203,] FALSE FALSE FALSE FALSE FALSE
## [1204,] FALSE FALSE FALSE FALSE FALSE
## [1205,] FALSE FALSE FALSE FALSE FALSE
## [1206,] FALSE FALSE FALSE FALSE FALSE
## [1207,] FALSE FALSE FALSE FALSE FALSE
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## [1210,] FALSE FALSE FALSE FALSE FALSE
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## [1215,] FALSE FALSE FALSE FALSE FALSE
## [1216,] FALSE FALSE FALSE FALSE FALSE
## [1217,] FALSE FALSE FALSE FALSE FALSE
## [1218,] FALSE FALSE FALSE FALSE FALSE
## [1219,] FALSE FALSE FALSE FALSE FALSE
## Exterior.2nd Mas.Vnr.Type Mas.Vnr.Area Exter.Qual Exter.Cond Foundation
## [1,] FALSE FALSE FALSE FALSE FALSE FALSE
## [2,] FALSE FALSE FALSE FALSE FALSE FALSE
## [3,] FALSE FALSE FALSE FALSE FALSE FALSE
## [4,] FALSE FALSE FALSE FALSE FALSE FALSE
## [5,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [20,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [24,] FALSE FALSE FALSE FALSE FALSE FALSE
## [25,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [27,] FALSE FALSE FALSE FALSE FALSE FALSE
## [28,] FALSE FALSE FALSE FALSE FALSE FALSE
## [29,] FALSE FALSE FALSE FALSE FALSE FALSE
## [30,] FALSE FALSE FALSE FALSE FALSE FALSE
## [31,] FALSE FALSE FALSE FALSE FALSE FALSE
## [32,] FALSE FALSE FALSE FALSE FALSE FALSE
## [33,] FALSE FALSE FALSE FALSE FALSE FALSE
## [34,] FALSE FALSE FALSE FALSE FALSE FALSE
## [35,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [39,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [42,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [44,] FALSE FALSE FALSE FALSE FALSE FALSE
## [45,] FALSE FALSE FALSE FALSE FALSE FALSE
## [46,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [48,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [50,] FALSE FALSE FALSE FALSE FALSE FALSE
## [51,] FALSE FALSE FALSE FALSE FALSE FALSE
## [52,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [54,] FALSE FALSE FALSE FALSE FALSE FALSE
## [55,] FALSE FALSE FALSE FALSE FALSE FALSE
## [56,] FALSE FALSE TRUE FALSE FALSE FALSE
## [57,] FALSE FALSE FALSE FALSE FALSE FALSE
## [58,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [60,] FALSE FALSE FALSE FALSE FALSE FALSE
## [61,] FALSE FALSE FALSE FALSE FALSE FALSE
## [62,] FALSE FALSE FALSE FALSE FALSE FALSE
## [63,] FALSE FALSE FALSE FALSE FALSE FALSE
## [64,] FALSE FALSE FALSE FALSE FALSE FALSE
## [65,] FALSE FALSE FALSE FALSE FALSE FALSE
## [66,] FALSE FALSE FALSE FALSE FALSE FALSE
## [67,] FALSE FALSE FALSE FALSE FALSE FALSE
## [68,] FALSE FALSE FALSE FALSE FALSE FALSE
## [69,] FALSE FALSE FALSE FALSE FALSE FALSE
## [70,] FALSE FALSE FALSE FALSE FALSE FALSE
## [71,] FALSE FALSE FALSE FALSE FALSE FALSE
## [72,] FALSE FALSE FALSE FALSE FALSE FALSE
## [73,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [75,] FALSE FALSE FALSE FALSE FALSE FALSE
## [76,] FALSE FALSE FALSE FALSE FALSE FALSE
## [77,] FALSE FALSE FALSE FALSE FALSE FALSE
## [78,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [80,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [82,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [84,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [86,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [88,] FALSE FALSE FALSE FALSE FALSE FALSE
## [89,] FALSE FALSE FALSE FALSE FALSE FALSE
## [90,] FALSE FALSE FALSE FALSE FALSE FALSE
## [91,] FALSE FALSE FALSE FALSE FALSE FALSE
## [92,] FALSE FALSE FALSE FALSE FALSE FALSE
## [93,] FALSE FALSE FALSE FALSE FALSE FALSE
## [94,] FALSE FALSE FALSE FALSE FALSE FALSE
## [95,] FALSE FALSE FALSE FALSE FALSE FALSE
## [96,] FALSE FALSE FALSE FALSE FALSE FALSE
## [97,] FALSE FALSE FALSE FALSE FALSE FALSE
## [98,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [100,] FALSE FALSE FALSE FALSE FALSE FALSE
## [101,] FALSE FALSE FALSE FALSE FALSE FALSE
## [102,] FALSE FALSE FALSE FALSE FALSE FALSE
## [103,] FALSE FALSE FALSE FALSE FALSE FALSE
## [104,] FALSE FALSE FALSE FALSE FALSE FALSE
## [105,] FALSE FALSE FALSE FALSE FALSE FALSE
## [106,] FALSE FALSE FALSE FALSE FALSE FALSE
## [107,] FALSE FALSE FALSE FALSE FALSE FALSE
## [108,] FALSE FALSE FALSE FALSE FALSE FALSE
## [109,] FALSE FALSE FALSE FALSE FALSE FALSE
## [110,] FALSE FALSE FALSE FALSE FALSE FALSE
## [111,] FALSE FALSE FALSE FALSE FALSE FALSE
## [112,] FALSE FALSE FALSE FALSE FALSE FALSE
## [113,] FALSE FALSE FALSE FALSE FALSE FALSE
## [114,] FALSE FALSE FALSE FALSE FALSE FALSE
## [115,] FALSE FALSE FALSE FALSE FALSE FALSE
## [116,] FALSE FALSE FALSE FALSE FALSE FALSE
## [117,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [120,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [146,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [148,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [150,] FALSE FALSE FALSE FALSE FALSE FALSE
## [151,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [154,] FALSE FALSE FALSE FALSE FALSE FALSE
## [155,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [157,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [159,] FALSE FALSE FALSE FALSE FALSE FALSE
## [160,] FALSE FALSE FALSE FALSE FALSE FALSE
## [161,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [164,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [190,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [192,] FALSE FALSE FALSE FALSE FALSE FALSE
## [193,] FALSE FALSE FALSE FALSE FALSE FALSE
## [194,] FALSE FALSE FALSE FALSE FALSE FALSE
## [195,] FALSE FALSE FALSE FALSE FALSE FALSE
## [196,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [198,] FALSE FALSE FALSE FALSE FALSE FALSE
## [199,] FALSE FALSE FALSE FALSE FALSE FALSE
## [200,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [202,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [204,] FALSE FALSE FALSE FALSE FALSE FALSE
## [205,] FALSE FALSE FALSE FALSE FALSE FALSE
## [206,] FALSE FALSE FALSE FALSE FALSE FALSE
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## [208,] FALSE FALSE FALSE FALSE FALSE FALSE
## [209,] FALSE FALSE FALSE FALSE FALSE FALSE
## [210,] FALSE FALSE FALSE FALSE FALSE FALSE
## [211,] FALSE FALSE FALSE FALSE FALSE FALSE
## [212,] FALSE FALSE FALSE FALSE FALSE FALSE
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## Bsmt.Qual Bsmt.Cond Bsmt.Exposure BsmtFin.Type.1 BsmtFin.SF.1
## [1,] FALSE FALSE FALSE FALSE FALSE
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## [1217,] FALSE FALSE FALSE FALSE FALSE
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## [1219,] FALSE FALSE FALSE FALSE FALSE
## BsmtFin.Type.2 BsmtFin.SF.2 Bsmt.Unf.SF Total.Bsmt.SF Heating
## [1,] FALSE FALSE FALSE FALSE FALSE
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## Heating.QC Central.Air Electrical X1st.Flr.SF X2nd.Flr.SF
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## Half.Bath Bedroom.AbvGr Kitchen.AbvGr Kitchen.Qual TotRms.AbvGrd
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## Functional Fireplaces Fireplace.Qu Garage.Type Garage.Yr.Blt
## [1,] FALSE FALSE FALSE FALSE FALSE
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## [1219,] FALSE FALSE TRUE FALSE FALSE
## Garage.Finish Garage.Cars Garage.Area Garage.Qual Garage.Cond
## [1,] FALSE FALSE FALSE FALSE FALSE
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## Screen.Porch Pool.Area Pool.QC Fence Misc.Feature Misc.Val Mo.Sold
## [1,] FALSE FALSE TRUE TRUE TRUE FALSE FALSE
## [2,] FALSE FALSE TRUE FALSE TRUE FALSE FALSE
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## Yr.Sold Sale.Type Sale.Condition SalePrice
## [1,] FALSE FALSE FALSE FALSE
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## [ reached getOption("max.print") -- omitted 1711 rows ]#replace the NULL's with 0
df[is.null(df)] <- 0
#replace the NA with 0
df[is.na(df)] <- 0## Warning in `[<-.factor`(`*tmp*`, thisvar, value = 0): invalid factor level, NA
## generated## Warning in `[<-.factor`(`*tmp*`, thisvar, value = 0): invalid factor level, NA
## generated
## Warning in `[<-.factor`(`*tmp*`, thisvar, value = 0): invalid factor level, NA
## generated
## Warning in `[<-.factor`(`*tmp*`, thisvar, value = 0): invalid factor level, NA
## generated
## Warning in `[<-.factor`(`*tmp*`, thisvar, value = 0): invalid factor level, NA
## generated
## Warning in `[<-.factor`(`*tmp*`, thisvar, value = 0): invalid factor level, NA
## generated
## Warning in `[<-.factor`(`*tmp*`, thisvar, value = 0): invalid factor level, NA
## generated
## Warning in `[<-.factor`(`*tmp*`, thisvar, value = 0): invalid factor level, NA
## generated
## Warning in `[<-.factor`(`*tmp*`, thisvar, value = 0): invalid factor level, NA
## generated
## Warning in `[<-.factor`(`*tmp*`, thisvar, value = 0): invalid factor level, NA
## generated
## Warning in `[<-.factor`(`*tmp*`, thisvar, value = 0): invalid factor level, NA
## generated
## Warning in `[<-.factor`(`*tmp*`, thisvar, value = 0): invalid factor level, NA
## generated
## Warning in `[<-.factor`(`*tmp*`, thisvar, value = 0): invalid factor level, NA
## generated
## Warning in `[<-.factor`(`*tmp*`, thisvar, value = 0): invalid factor level, NA
## generated#takes backup of df
df.backup <- dfdf <- df %>% replace(.=="NULL", NA) # replace with NA
#df.Num <- select_if(df, is.numeric) #select only numeric column
#df.Ord <- select_if(df, is.factor) #select only ordinal column
#takes sample, sample size = 75% without replacement
require(caTools)## Loading required package: caToolsset.seed(101)
sample = sample.split(df$SalePrice, SplitRatio = .75)
df = subset(df, sample == TRUE)
#split into numeric and ordinal variables, ordinal variables and generally mapped with level 1..7, and
#numeric columns stay the same, todo: frequency of all columns and mutate every low freqeuncy levels
df.Num <- select_if(df, is.numeric) #select only numeric column
df.Ord <- select_if(df, is.factor) #select only ordinal column
test = subset(df, sample == FALSE)
df<-as.data.frame(df)
##perform Shapiro-Wilk test for normality
y = df$SalePrice
shapiro.test(y)##
## Shapiro-Wilk normality test
##
## data: y
## W = 0.88042, p-value < 2.2e-16m = mean(y)
std = sd(y)
mean(df$SalePrice)## [1] 184717.3shapiro.test(df$SalePrice)##
## Shapiro-Wilk normality test
##
## data: df$SalePrice
## W = 0.88042, p-value < 2.2e-16Confidence Interval Test For the Sample Against the Population
#Confidence Interval Test For the Sample Against the Population
LowerBound = m-1.96*(std/(10000**0.5))
LowerBound## [1] 183066.7#-79.39087
UpperBound = m+1.96*(std/(10000**0.5))
UpperBound## [1] 186367.9#Plot CI in R using ggplot
levels(factor(df$SalePrice))## [1] "12789" "13100" "34900" "35000" "35311" "37900" "39300" "40000"
## [9] "44000" "45000" "46500" "50000" "50138" "51689" "52000" "52500"
## [17] "55000" "55993" "57625" "58500" "59000" "60000" "61000" "61500"
## [25] "62383" "62500" "63000" "63900" "64000" "64500" "65000" "66500"
## [33] "67000" "67500" "68000" "68104" "68400" "68500" "70000" "71000"
## [41] "72000" "72500" "73000" "75000" "75190" "75200" "75500" "76000"
## [49] "76500" "78000" "78500" "79000" "79275" "79400" "79500" "79900"
## [57] "80000" "80400" "80500" "80900" "81000" "81300" "81400" "81500"
## [65] "82000" "82375" "82500" "83000" "83500" "84000" "84500" "84900"
## [73] "85000" "85400" "85500" "86000" "86900" "87000" "87500" "87550"
## [81] "88000" "88250" "88750" "89000" "89471" "89500" "89900" "90000"
## [89] "90350" "90500" "91000" "91300" "91500" "91900" "92000" "92900"
## [97] "93000" "93369" "93500" "93850" "93900" "94000" "94500" "94550"
## [105] "94750" "94900" "95000" "95541" "96000" "96500" "96900" "97000"
## [113] "97500" "97900" "98000" "98300" "98500" "98600" "99000" "99500"
## [121] "99600" "99800" "99900" "100000" "100500" "101000" "101800" "102000"
## [129] "102776" "102900" "103000" "103200" "103400" "103500" "103600" "104000"
## [137] "104500" "104900" "105000" "105500" "105900" "106000" "106250" "106500"
## [145] "106900" "107000" "107400" "107500" "107900" "108000" "108480" "108500"
## [153] "108538" "108959" "109000" "109008" "109500" "109900" "110000" "110500"
## [161] "111000" "111250" "111500" "111750" "111900" "112000" "112500" "112900"
## [169] "113000" "113500" "113700" "113722" "114000" "114500" "114504" "114900"
## [177] "115000" "115400" "115500" "116000" "116050" "116500" "116900" "117000"
## [185] "117250" "117500" "117600" "118000" "118400" "118500" "118858" "118900"
## [193] "118964" "119000" "119164" "119200" "119500" "119600" "119750" "119900"
## [201] "119916" "120000" "120500" "120750" "120875" "121000" "121500" "121600"
## [209] "122000" "122250" "122500" "122600" "122900" "123000" "123500" "123600"
## [217] "123900" "124000" "124100" "124400" "124500" "124900" "125000" "125200"
## [225] "125500" "125600" "125900" "126000" "126175" "126500" "127000" "127500"
## [233] "128000" "128200" "128250" "128500" "128600" "128900" "128950" "129000"
## [241] "129200" "129250" "129400" "129500" "129800" "129850" "129900" "130000"
## [249] "130250" "130500" "131000" "131250" "131400" "131500" "131750" "131900"
## [257] "132000" "132250" "132500" "133000" "133500" "133700" "133900" "134000"
## [265] "134432" "134450" "134500" "134800" "134900" "135000" "135500" "135750"
## [273] "135900" "135960" "136000" "136300" "136500" "136870" "136900" "136905"
## [281] "137000" "137250" "137450" "137500" "137900" "138000" "138400" "138500"
## [289] "138800" "138887" "139000" "139400" "139500" "139600" "139900" "139950"
## [297] "140000" "140200" "140500" "140750" "141000" "141500" "142000" "142100"
## [305] "142125" "142250" "142500" "142600" "142900" "142953" "143000" "143195"
## [313] "143250" "143450" "143500" "143750" "143900" "144000" "144100" "144152"
## [321] "144500" "144750" "144800" "144900" "145000" "145100" "145250" "145400"
## [329] "145500" "145900" "146000" "146300" "146500" "146800" "146900" "147000"
## [337] "147110" "147400" "147500" "147900" "147983" "148000" "148325" "148400"
## [345] "148500" "148800" "149000" "149300" "149350" "149500" "149700" "149900"
## [353] "150000" "150500" "150750" "150900" "150909" "151000" "151400" "151500"
## [361] "152000" "152400" "152500" "153000" "153337" "153500" "153575" "153600"
## [369] "153900" "154000" "154204" "154300" "154400" "154500" "154900" "155000"
## [377] "155500" "155835" "155891" "155900" "156000" "156450" "156500" "156820"
## [385] "156932" "157000" "157500" "157900" "158000" "158450" "158500" "158900"
## [393] "159000" "159434" "159500" "159895" "159900" "159950" "160000" "160200"
## [401] "160250" "160500" "161000" "161500" "161750" "161900" "162000" "162500"
## [409] "162900" "163000" "163500" "163900" "163990" "164000" "164500" "164700"
## [417] "164900" "164990" "165000" "165150" "165250" "165400" "165500" "165600"
## [425] "166000" "166500" "166800" "167000" "167240" "167300" "167500" "167800"
## [433] "167840" "167900" "168000" "168165" "168500" "168675" "169000" "169500"
## [441] "169900" "169985" "169990" "170000" "170440" "171000" "171500" "171750"
## [449] "171900" "171925" "172000" "172400" "172500" "172785" "172900" "173000"
## [457] "173500" "173733" "173900" "174000" "174190" "174500" "174850" "174900"
## [465] "175000" "175500" "175900" "176000" "176400" "176432" "176485" "176500"
## [473] "177000" "177439" "177500" "177594" "177625" "177900" "178000" "178400"
## [481] "178740" "178750" "178900" "179000" "179200" "179400" "179500" "179540"
## [489] "179600" "179665" "179781" "179900" "180000" "180400" "180500" "181000"
## [497] "181134" "181316" "181500" "181755" "181900" "182000" "182900" "183000"
## [505] "183200" "183500" "183600" "183850" "183900" "184000" "184100" "184500"
## [513] "184750" "184900" "185000" "185088" "185101" "185485" "185500" "185750"
## [521] "185850" "185900" "186000" "186500" "186700" "186800" "187000" "187100"
## [529] "187500" "187687" "187750" "188000" "188500" "188700" "188900" "189000"
## [537] "189500" "189900" "189950" "190000" "190500" "190550" "191000" "191500"
## [545] "191750" "192000" "192100" "192140" "192350" "192500" "193000" "193500"
## [553] "193800" "193879" "194000" "194201" "194500" "194700" "195000" "195400"
## [561] "195500" "195800" "196000" "196500" "197000" "197500" "197600" "197900"
## [569] "198000" "198444" "198500" "198600" "198900" "199000" "199500" "199900"
## [577] "200000" "200100" "200141" "200500" "200624" "200825" "201000" "201490"
## [585] "201800" "202000" "202500" "202665" "202900" "203000" "203135" "203160"
## [593] "204000" "204500" "204750" "204900" "205000" "205950" "206000" "206300"
## [601] "206580" "206900" "207000" "207500" "208000" "208300" "208500" "208900"
## [609] "209000" "209200" "209500" "209700" "210000" "210250" "210400" "210900"
## [617] "211000" "211500" "212000" "212109" "212300" "212500" "212700" "212900"
## [625] "212999" "213000" "213133" "213250" "213490" "213500" "213750" "214000"
## [633] "214500" "214900" "215000" "215200" "215700" "216000" "216500" "216837"
## [641] "217000" "217300" "217500" "218000" "218500" "218689" "218836" "219000"
## [649] "219210" "219500" "219990" "220000" "221000" "221300" "221370" "221500"
## [657] "221800" "222000" "222500" "223000" "223500" "224000" "224243" "224500"
## [665] "224900" "225000" "226000" "226001" "226500" "226700" "226750" "227000"
## [673] "227680" "227875" "228000" "228500" "228950" "229000" "229456" "229800"
## [681] "230000" "230348" "230500" "231000" "231500" "231713" "232000" "232500"
## [689] "232600" "232698" "233000" "233170" "233230" "233500" "233555" "234000"
## [697] "234250" "234500" "235000" "235128" "235500" "235876" "236000" "236500"
## [705] "237000" "237500" "238000" "238500" "239000" "239500" "239686" "239799"
## [713] "239900" "240000" "240050" "240900" "241000" "241500" "241600" "242000"
## [721] "242500" "243000" "243500" "244000" "244400" "244600" "245000" "245350"
## [729] "245500" "245700" "246000" "246500" "246578" "246900" "246990" "247000"
## [737] "247900" "248000" "248328" "248500" "248900" "249000" "249700" "250000"
## [745] "250580" "250764" "251000" "252000" "252678" "253000" "253293" "254000"
## [753] "254750" "254900" "255000" "255500" "255900" "256000" "256300" "256900"
## [761] "257000" "257076" "257500" "258000" "259000" "259500" "260000" "260116"
## [769] "260261" "260400" "261329" "261500" "262000" "262280" "262500" "263000"
## [777] "263400" "263435" "263550" "264132" "264500" "264561" "264966" "265000"
## [785] "265900" "265979" "266000" "266500" "267000" "267300" "267916" "268000"
## [793] "268500" "269500" "269790" "270000" "271000" "271500" "271900" "272000"
## [801] "272500" "274000" "274300" "274725" "274900" "274970" "275000" "275500"
## [809] "276000" "277000" "277500" "278000" "279000" "279500" "279700" "279900"
## [817] "280000" "280750" "281000" "281213" "281500" "282000" "282500" "282922"
## [825] "283463" "284000" "284500" "284700" "285000" "286000" "286500" "287000"
## [833] "287090" "287500" "287602" "289000" "290000" "290941" "291000" "292500"
## [841] "293000" "293077" "293200" "294000" "294323" "294464" "294900" "295000"
## [849] "295493" "296000" "297000" "297900" "298236" "298751" "299800" "300000"
## [857] "301000" "301500" "301600" "302000" "303477" "305000" "305900" "306000"
## [865] "307000" "308030" "309000" "310000" "310013" "310090" "311500" "311872"
## [873] "312500" "313000" "314813" "315000" "315500" "315750" "316000" "316500"
## [881] "316600" "317000" "317500" "318000" "318061" "318750" "319000" "319500"
## [889] "319900" "320000" "321000" "322400" "322500" "323262" "324000" "325000"
## [897] "325300" "325624" "326000" "327000" "328000" "328900" "329900" "330000"
## [905] "332000" "332200" "333168" "334000" "335000" "336000" "336820" "336860"
## [913] "337000" "337500" "338500" "338931" "339750" "340000" "341000" "342000"
## [921] "342643" "344133" "345000" "345474" "348000" "349265" "350000" "354000"
## [929] "355000" "356000" "356383" "359100" "359900" "360000" "361919" "362500"
## [937] "367294" "369900" "370000" "370878" "370967" "372000" "372397" "372402"
## [945] "372500" "373000" "374000" "375000" "376162" "377426" "377500" "378000"
## [953] "378500" "379000" "380000" "381000" "382500" "383000" "383970" "384500"
## [961] "385000" "386250" "387000" "390000" "392000" "392500" "394432" "394617"
## [969] "395000" "395039" "395192" "398800" "401179" "402000" "402861" "403000"
## [977] "404000" "405000" "405749" "409900" "410000" "412083" "412500" "415000"
## [985] "415298" "417500" "418000" "419005" "421250" "423000" "424870" "425000"
## [993] "426000" "430000" "437154" "438780" "440000" "441929" "445000" "446261"
## [1001] "450000" "451950" "455000" "457347" "460000" "462000" "465000" "466500"
## [1009] "468000" "470000" "475000" "479069" "485000" "492000" "500000" "500067"
## [1017] "501837" "535000" "538000" "545224" "552000" "555000" "556581" "582933"
## [1025] "584500" "591587" "610000" "611657" "615000" "625000" "745000" "755000"p<-ggplot(df, aes(x=df$Order, y=df$SalePrice)) + # ggplot2 plot with confidence intervals
geom_point() +
geom_errorbar(aes(ymin = LowerBound, ymax = UpperBound))
p + ggtitle("Plot 1. CI Plot of the Sample") +
ylab("Price($)")+
xlab("Order ID")## Warning: Use of `df$Order` is discouraged. Use `Order` instead.## Warning: Use of `df$SalePrice` is discouraged. Use `SalePrice` instead.## Warning: Use of `df$Order` is discouraged. Use `Order` instead.## Warning: Use of `df$SalePrice` is discouraged. Use `SalePrice` instead.
ggsave('CI OrderID.png')## Saving 7 x 5 in image## Warning: Use of `df$Order` is discouraged. Use `Order` instead.
## Warning: Use of `df$SalePrice` is discouraged. Use `SalePrice` instead.## Warning: Use of `df$Order` is discouraged. Use `Order` instead.## Warning: Use of `df$SalePrice` is discouraged. Use `SalePrice` instead.#Plot CI using another package
plotCI(x=df$Order,
y=df$SalePrice,
li = LowerBound,
ui = UpperBound)
##CI based on the PID(region ID)
p<-ggplot(df, aes(x=df$PID, y=df$SalePrice)) +
# ggplot2 plot with confidence intervals
geom_point() +
geom_errorbar(aes(ymin = LowerBound, ymax = UpperBound))
p + ggtitle("Plot 1. CI Plot of the Sample") +
ylab("Price($)")+
xlab("PID Region")## Warning: Use of `df$PID` is discouraged. Use `PID` instead.
## Warning: Use of `df$SalePrice` is discouraged. Use `SalePrice` instead.## Warning: Use of `df$PID` is discouraged. Use `PID` instead.## Warning: Use of `df$SalePrice` is discouraged. Use `SalePrice` instead.
ggsave('CI PID.png')## Saving 7 x 5 in image## Warning: Use of `df$PID` is discouraged. Use `PID` instead.
## Warning: Use of `df$SalePrice` is discouraged. Use `SalePrice` instead.## Warning: Use of `df$PID` is discouraged. Use `PID` instead.## Warning: Use of `df$SalePrice` is discouraged. Use `SalePrice` instead.#table
formattable(describe(House), list(
kurtosis = color_tile("white", "orange"),
skew = color_tile("white", "red"),
se = color_tile("white", "blue"),
range = formatter("span", style = x ~ ifelse(x == "A",
style(color = "green", font.weight = "bold"), NA)),
#area(col = c(sd, se),row=TRUE) ~ normalize_bar("pink", 0.2),
def = formatter("span",
style = x ~ style(color = ifelse(rank(-x) <= 3, "green", "gray")),
x ~ sprintf("%.2f (rank: %02d)", x, rank(-x))),
abc = formatter("span",
style = x ~ style(color = ifelse(x, "green", "red")),
x ~ icontext(ifelse(x, "ok", "remove"), ifelse(x, "Yes", "No")))
))| variable | n | na | mean | sd | se_mean | IQR | skewness | kurtosis | p00 | p01 | p05 | p10 | p20 | p25 | p30 | p40 | p50 | p60 | p70 | p75 | p80 | p90 | p95 | p99 | p100 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Order | 2930 | 0 | 1.465500e+03 | 8.459625e+02 | 1.562850e+01 | 1464.50 | 0.00000000 | -1.20000000 | 1 | 30.29 | 147.45 | 293.9 | 586.8 | 7.33250e+02 | 879.7 | 1172.6 | 1465.5 | 1758.4 | 2051.3 | 2197.75 | 2344.2 | 2637.1 | 2783.55 | 2900.71 | 2930 |
| PID | 2930 | 0 | 7.144645e+08 | 1.887308e+08 | 3.486656e+06 | 378704075.00 | 0.05588589 | -1.99514641 | 526301100 | 527106399.40 | 527301203.75 | 527452019.0 | 528280174.0 | 5.28477e+08 | 532378117.0 | 534450102.0 | 535453620.0 | 903236076.0 | 906200467.3 | 907181097.50 | 907405050.0 | 909475052.0 | 916403241.00 | 923275031.30 | 1007100110 |
| MS.SubClass | 2930 | 0 | 5.738737e+01 | 4.263802e+01 | 7.877044e-01 | 50.00 | 1.35757944 | 1.38677499 | 20 | 20.00 | 20.00 | 20.0 | 20.0 | 2.00000e+01 | 20.0 | 30.0 | 50.0 | 60.0 | 60.0 | 70.00 | 80.0 | 120.0 | 160.00 | 190.00 | 190 |
| Lot.Frontage | 2440 | 490 | 6.922459e+01 | 2.336533e+01 | 4.730174e-01 | 22.00 | 1.49906735 | 11.23485065 | 21 | 21.00 | 32.00 | 43.0 | 52.0 | 5.80000e+01 | 60.0 | 63.0 | 68.0 | 73.0 | 78.0 | 80.00 | 84.0 | 95.0 | 107.00 | 135.61 | 313 |
| Lot.Area | 2930 | 0 | 1.014792e+04 | 7.880018e+03 | 1.455772e+02 | 4115.00 | 12.82089817 | 265.02367060 | 1300 | 1680.00 | 3188.30 | 4800.0 | 7000.0 | 7.44025e+03 | 7936.7 | 8734.0 | 9436.5 | 10141.4 | 11000.0 | 11555.25 | 12193.2 | 14299.1 | 17131.00 | 32988.92 | 215245 |
| Overall.Qual | 2930 | 0 | 6.094881e+00 | 1.411026e+00 | 2.606761e-02 | 2.00 | 0.19063396 | 0.05241245 | 1 | 3.00 | 4.00 | 5.0 | 5.0 | 5.00000e+00 | 5.0 | 6.0 | 6.0 | 6.0 | 7.0 | 7.00 | 7.0 | 8.0 | 8.00 | 10.00 | 10 |
| Overall.Cond | 2930 | 0 | 5.563140e+00 | 1.111537e+00 | 2.053477e-02 | 1.00 | 0.57442948 | 1.49144972 | 1 | 3.00 | 4.00 | 5.0 | 5.0 | 5.00000e+00 | 5.0 | 5.0 | 5.0 | 5.0 | 6.0 | 6.00 | 6.0 | 7.0 | 8.00 | 9.00 | 9 |
| Year.Built | 2930 | 0 | 1.971356e+03 | 3.024536e+01 | 5.587595e-01 | 47.00 | -0.60446222 | -0.50171504 | 1872 | 1900.00 | 1915.00 | 1924.9 | 1947.0 | 1.95400e+03 | 1957.0 | 1965.0 | 1973.0 | 1984.0 | 1998.0 | 2001.00 | 2003.0 | 2006.0 | 2007.00 | 2008.00 | 2010 |
| Year.Remod.Add | 2930 | 0 | 1.984267e+03 | 2.086029e+01 | 3.853776e-01 | 39.00 | -0.45186265 | -1.34151594 | 1950 | 1950.00 | 1950.00 | 1950.0 | 1960.0 | 1.96500e+03 | 1970.0 | 1978.0 | 1993.0 | 1998.0 | 2002.0 | 2004.00 | 2005.0 | 2006.0 | 2007.00 | 2009.00 | 2010 |
| Mas.Vnr.Area | 2907 | 23 | 1.018968e+02 | 1.791126e+02 | 3.322031e+00 | 164.00 | 2.60698478 | 9.28663406 | 0 | 0.00 | 0.00 | 0.0 | 0.0 | 0.00000e+00 | 0.0 | 0.0 | 0.0 | 0.0 | 120.0 | 164.00 | 201.6 | 323.4 | 466.00 | 770.82 | 1600 |
| BsmtFin.SF.1 | 2929 | 1 | 4.426296e+02 | 4.555908e+02 | 8.418124e+00 | 734.00 | 1.41618221 | 6.85928477 | 0 | 0.00 | 0.00 | 0.0 | 0.0 | 0.00000e+00 | 0.0 | 204.2 | 370.0 | 519.6 | 658.0 | 734.00 | 814.0 | 1056.6 | 1274.00 | 1634.88 | 5644 |
| BsmtFin.SF.2 | 2929 | 1 | 4.972243e+01 | 1.691685e+02 | 3.125790e+00 | 0.00 | 4.13997847 | 18.78148135 | 0 | 0.00 | 0.00 | 0.0 | 0.0 | 0.00000e+00 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.00 | 0.0 | 127.2 | 435.00 | 874.44 | 1526 |
| Bsmt.Unf.SF | 2929 | 1 | 5.592625e+02 | 4.394942e+02 | 8.120699e+00 | 583.00 | 0.92305274 | 0.40952533 | 0 | 0.00 | 0.00 | 54.8 | 173.0 | 2.19000e+02 | 270.0 | 363.0 | 466.0 | 594.0 | 729.6 | 802.00 | 891.4 | 1211.2 | 1473.60 | 1776.16 | 2336 |
| Total.Bsmt.SF | 2929 | 1 | 1.051615e+03 | 4.406151e+02 | 8.141411e+00 | 509.00 | 1.15620432 | 9.13561233 | 0 | 0.00 | 453.00 | 600.0 | 741.0 | 7.93000e+02 | 836.0 | 912.0 | 990.0 | 1090.0 | 1216.6 | 1302.00 | 1392.0 | 1612.4 | 1776.00 | 2197.20 | 6110 |
| X1st.Flr.SF | 2930 | 0 | 1.159558e+03 | 3.918909e+02 | 7.239880e+00 | 507.75 | 1.46942864 | 6.96880853 | 334 | 520.00 | 665.45 | 744.9 | 847.0 | 8.76250e+02 | 914.0 | 997.0 | 1084.0 | 1182.0 | 1314.0 | 1384.00 | 1482.2 | 1675.0 | 1829.55 | 2286.81 | 5095 |
| X2nd.Flr.SF | 2930 | 0 | 3.354560e+02 | 4.283957e+02 | 7.914278e+00 | 703.75 | 0.86645675 | -0.41486130 | 0 | 0.00 | 0.00 | 0.0 | 0.0 | 0.00000e+00 | 0.0 | 0.0 | 0.0 | 424.0 | 636.0 | 703.75 | 768.2 | 924.1 | 1130.10 | 1399.10 | 2065 |
| Low.Qual.Fin.SF | 2930 | 0 | 4.676792e+00 | 4.631051e+01 | 8.555507e-01 | 0.00 | 12.11816156 | 175.60694952 | 0 | 0.00 | 0.00 | 0.0 | 0.0 | 0.00000e+00 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.00 | 0.0 | 0.0 | 0.00 | 152.52 | 1064 |
| Gr.Liv.Area | 2930 | 0 | 1.499690e+03 | 5.055089e+02 | 9.338884e+00 | 616.75 | 1.27410972 | 4.13783819 | 334 | 677.51 | 861.00 | 923.9 | 1064.8 | 1.12600e+03 | 1200.0 | 1327.6 | 1442.0 | 1560.0 | 1680.0 | 1742.75 | 1838.0 | 2152.1 | 2463.10 | 2930.66 | 5642 |
| Bsmt.Full.Bath | 2928 | 2 | 4.313525e-01 | 5.248202e-01 | 9.698956e-03 | 1.00 | 0.61663900 | -0.74798879 | 0 | 0.00 | 0.00 | 0.0 | 0.0 | 0.00000e+00 | 0.0 | 0.0 | 0.0 | 1.0 | 1.0 | 1.00 | 1.0 | 1.0 | 1.00 | 2.00 | 3 |
| Bsmt.Half.Bath | 2928 | 2 | 6.113388e-02 | 2.452536e-01 | 4.532416e-03 | 0.00 | 3.94079546 | 14.92174033 | 0 | 0.00 | 0.00 | 0.0 | 0.0 | 0.00000e+00 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.00 | 0.0 | 0.0 | 1.00 | 1.00 | 2 |
| Full.Bath | 2930 | 0 | 1.566553e+00 | 5.529406e-01 | 1.021515e-02 | 1.00 | 0.17195208 | -0.54143704 | 0 | 1.00 | 1.00 | 1.0 | 1.0 | 1.00000e+00 | 1.0 | 1.0 | 2.0 | 2.0 | 2.0 | 2.00 | 2.0 | 2.0 | 2.00 | 3.00 | 4 |
| Half.Bath | 2930 | 0 | 3.795222e-01 | 5.026293e-01 | 9.285685e-03 | 1.00 | 0.69771307 | -1.03034064 | 0 | 0.00 | 0.00 | 0.0 | 0.0 | 0.00000e+00 | 0.0 | 0.0 | 0.0 | 0.0 | 1.0 | 1.00 | 1.0 | 1.0 | 1.00 | 1.00 | 2 |
| Bedroom.AbvGr | 2930 | 0 | 2.854266e+00 | 8.277311e-01 | 1.529169e-02 | 1.00 | 0.30569421 | 1.89142066 | 0 | 1.00 | 2.00 | 2.0 | 2.0 | 2.00000e+00 | 3.0 | 3.0 | 3.0 | 3.0 | 3.0 | 3.00 | 3.0 | 4.0 | 4.00 | 5.00 | 8 |
| Kitchen.AbvGr | 2930 | 0 | 1.044369e+00 | 2.140762e-01 | 3.954892e-03 | 0.00 | 4.31382460 | 19.86974309 | 0 | 1.00 | 1.00 | 1.0 | 1.0 | 1.00000e+00 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | 1.00 | 1.0 | 1.0 | 1.00 | 2.00 | 3 |
| TotRms.AbvGrd | 2930 | 0 | 6.443003e+00 | 1.572964e+00 | 2.905930e-02 | 2.00 | 0.75354256 | 1.15458818 | 2 | 4.00 | 4.00 | 5.0 | 5.0 | 5.00000e+00 | 6.0 | 6.0 | 6.0 | 7.0 | 7.0 | 7.00 | 8.0 | 8.0 | 9.00 | 11.00 | 15 |
| Fireplaces | 2930 | 0 | 5.993174e-01 | 6.479209e-01 | 1.196984e-02 | 1.00 | 0.73921520 | 0.10150848 | 0 | 0.00 | 0.00 | 0.0 | 0.0 | 0.00000e+00 | 0.0 | 0.0 | 1.0 | 1.0 | 1.0 | 1.00 | 1.0 | 1.0 | 2.00 | 2.00 | 4 |
| Garage.Yr.Blt | 2771 | 159 | 1.978132e+03 | 2.552841e+01 | 4.849596e-01 | 42.00 | -0.38467176 | 1.82657821 | 1895 | 1915.00 | 1928.00 | 1942.0 | 1957.0 | 1.96000e+03 | 1964.0 | 1973.0 | 1979.0 | 1993.0 | 1999.0 | 2002.00 | 2004.0 | 2006.0 | 2007.00 | 2009.00 | 2207 |
| Garage.Cars | 2929 | 1 | 1.766815e+00 | 7.605664e-01 | 1.405327e-02 | 1.00 | -0.21983636 | 0.24496945 | 0 | 0.00 | 0.00 | 1.0 | 1.0 | 1.00000e+00 | 1.0 | 2.0 | 2.0 | 2.0 | 2.0 | 2.00 | 2.0 | 3.0 | 3.00 | 3.00 | 5 |
| Garage.Area | 2929 | 1 | 4.728197e+02 | 2.150465e+02 | 3.973496e+00 | 256.00 | 0.24199424 | 0.95102299 | 0 | 0.00 | 0.00 | 240.0 | 296.6 | 3.20000e+02 | 379.0 | 440.0 | 480.0 | 512.0 | 560.0 | 576.00 | 620.0 | 757.2 | 856.00 | 1019.16 | 1488 |
| Wood.Deck.SF | 2930 | 0 | 9.375188e+01 | 1.263616e+02 | 2.334432e+00 | 168.00 | 1.84267810 | 6.75395524 | 0 | 0.00 | 0.00 | 0.0 | 0.0 | 0.00000e+00 | 0.0 | 0.0 | 0.0 | 100.0 | 144.0 | 168.00 | 192.0 | 256.1 | 327.55 | 500.71 | 1424 |
| Open.Porch.SF | 2930 | 0 | 4.753345e+01 | 6.748340e+01 | 1.246703e+00 | 70.00 | 2.53538592 | 10.95434330 | 0 | 0.00 | 0.00 | 0.0 | 0.0 | 0.00000e+00 | 0.0 | 0.0 | 27.0 | 40.0 | 58.0 | 70.00 | 85.0 | 131.0 | 182.55 | 284.13 | 742 |
| Enclosed.Porch | 2930 | 0 | 2.301160e+01 | 6.413906e+01 | 1.184919e+00 | 0.00 | 4.01444567 | 28.48720510 | 0 | 0.00 | 0.00 | 0.0 | 0.0 | 0.00000e+00 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.00 | 0.0 | 112.0 | 176.00 | 264.00 | 1012 |
| X3Ssn.Porch | 2930 | 0 | 2.592491e+00 | 2.514133e+01 | 4.644666e-01 | 0.00 | 11.40379486 | 149.98870127 | 0 | 0.00 | 0.00 | 0.0 | 0.0 | 0.00000e+00 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.00 | 0.0 | 0.0 | 0.00 | 144.00 | 508 |
| Screen.Porch | 2930 | 0 | 1.600205e+01 | 5.608737e+01 | 1.036171e+00 | 0.00 | 3.95746732 | 17.85915031 | 0 | 0.00 | 0.00 | 0.0 | 0.0 | 0.00000e+00 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.00 | 0.0 | 0.0 | 161.00 | 259.71 | 576 |
| Pool.Area | 2930 | 0 | 2.243345e+00 | 3.559718e+01 | 6.576303e-01 | 0.00 | 16.93914250 | 299.77494394 | 0 | 0.00 | 0.00 | 0.0 | 0.0 | 0.00000e+00 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.00 | 0.0 | 0.0 | 0.00 | 0.00 | 800 |
| Misc.Val | 2930 | 0 | 5.063515e+01 | 5.663443e+02 | 1.046277e+01 | 0.00 | 21.99978762 | 566.20329831 | 0 | 0.00 | 0.00 | 0.0 | 0.0 | 0.00000e+00 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.00 | 0.0 | 0.0 | 0.00 | 971.00 | 17000 |
| Mo.Sold | 2930 | 0 | 6.216041e+00 | 2.714492e+00 | 5.014814e-02 | 4.00 | 0.19259606 | -0.45463183 | 1 | 1.00 | 2.00 | 3.0 | 4.0 | 4.00000e+00 | 5.0 | 6.0 | 6.0 | 7.0 | 7.0 | 8.00 | 8.0 | 10.0 | 11.00 | 12.00 | 12 |
| Yr.Sold | 2930 | 0 | 2.007790e+03 | 1.316613e+00 | 2.432340e-02 | 2.00 | 0.13486248 | -1.15757640 | 2006 | 2006.00 | 2006.00 | 2006.0 | 2006.0 | 2.00700e+03 | 2007.0 | 2007.0 | 2008.0 | 2008.0 | 2009.0 | 2009.00 | 2009.0 | 2010.0 | 2010.00 | 2010.00 | 2010 |
| SalePrice | 2930 | 0 | 1.807961e+05 | 7.988669e+04 | 1.475845e+03 | 84000.00 | 1.74350008 | 5.11889995 | 12789 | 61756.07 | 87500.00 | 105450.0 | 124000.0 | 1.29500e+05 | 135000.0 | 146500.0 | 160000.0 | 178536.0 | 199500.0 | 213500.00 | 230000.0 | 281241.7 | 335000.00 | 456666.37 | 755000 |
df.des = describe(House)
df.des.sp <- as.data.frame(unlist(df.des["SalePrice",]))
write.csv(df.des,'HouseDescription.csv')
#Identify Outlier, anomorlies
#Using Box Chart
p<-ggplot(df) +
aes(x = "", y = SalePrice) +
geom_boxplot(fill = "#0c4c8a") +
theme_minimal()
p + ggtitle("Plot 1a. Sale Price Box Chart") +
xlab("House") + ylab("Sale Price($)")
#Using Histogram
# Add mean line
p+ geom_vline(aes(xintercept=mean(df$SalePrice)),
color="blue", linetype="dashed", size=1)## Warning: Use of `df$SalePrice` is discouraged. Use `SalePrice` instead.
# Histogram with density plot
p.p<-ggplot(df, aes(x=df$SalePrice)) +
geom_histogram(aes(y=..density..), colour="black", fill="white")+
geom_density(alpha=.2, fill="#FF6666")
p.p + ggtitle("Plot 1b. Density Histogram for Sales Price") +
xlab("Price($)") + ylab("Density")## Warning: Use of `df$SalePrice` is discouraged. Use `SalePrice` instead.
## Warning: Use of `df$SalePrice` is discouraged. Use `SalePrice` instead.## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
boxplot.stats(df$SalePrice)$out## [1] 538000 394432 376162 395192 611657 500000 410000 362500 378500 377500
## [11] 375000 501837 372500 462000 485000 555000 398800 404000 402861 451950
## [21] 610000 582933 409900 386250 445000 552000 382500 403000 402000 468000
## [31] 370878 375000 410000 425000 387000 394617 426000 385000 446261 372402
## [41] 417500 383000 390000 460000 379000 615000 412500 421250 370000 367294
## [51] 370967 372500 475000 395039 381000 392500 370000 377426 591587 392000
## [61] 441929 455000 356000 415298 492000 450000 479069 395000 380000 440000
## [71] 418000 500067 372000 745000 384500 466500 755000 430000 419005 373000
## [81] 383970 424870 360000 359100 392000 457347 545224 356383 556581 361919
## [91] 535000 401179 438780 470000 412083 465000 415000 360000 372397 378000
## [101] 374000 437154 625000 405000 584500 423000 405749 385000 475000 415000
## [111] 375000 369900 359900out <- boxplot.stats(df$SalePrice)$out
out_ind <- which(df$SalePrice %in% c(out))
out_ind## [1] 13 15 29 31 37 39 55 76 265 289 291 305 306 349 350
## [16] 351 355 357 358 359 360 361 363 371 372 380 381 412 421 430
## [31] 437 792 795 801 832 862 863 864 865 867 868 869 870 871 872
## [46] 875 876 878 879 881 885 962 1167 1168 1257 1276 1299 1338 1340 1343
## [61] 1344 1345 1378 1383 1384 1386 1388 1389 1390 1392 1393 1394 1399 1450 1451
## [76] 1453 1455 1460 1467 1533 1710 1711 1712 1807 1857 1906 1907 1908 1909 1910
## [91] 1911 1912 1913 1917 1947 1950 1952 1963 1965 1966 1967 1968 2010 2011 2013
## [106] 2019 2023 2075 2185 2238 2350 2367 2368df[out_ind, ]#mtext(paste("Outliers: ", paste(out, collapse = ", ")))
lower_bound <- quantile(df$SalePrice, 0.025)-1.5*IQR(df.Num$SalePrice)
lower_bound## 2.5%
## -59037.5upper_bound <- quantile(df$SalePrice, 0.95)+ 1.5*IQR(df.Num$SalePrice)
upper_bound## 95%
## 484633.2outlier_ind <- which(df$SalePrice < lower_bound | df$SalePrice > upper_bound)
outlier_ind## [1] 13 37 39 305 350 351 360 361 380 875 1340 1384 1394 1450 1455
## [16] 1907 1909 1911 2010 2013df.out <-df[outlier_ind, 'SalePrice']
count(df.out)boxplot(df$SalePrice,
ylab = "Sale Price",
main = "Sale Price in Ames"
)
mtext(paste("Outliers: ", paste(df.out , collapse = ", ")))
###Frequency plot Q plot
# qplot(abs(df$SalePrice),
# geom="histogram",
# binwidth = 5,
# main = "Plot 1c: Frequency of Sale Price",
# xlab = "Call Duration(s)",
# ylab = "Count",
# fill=I("blue"),
# col=I("red"),
# alpha=I(.2),
# xlim=c(0,1000))
# qplot(count(round(df$SalePrice))$freq,
# geom="histogram",
# binwidth = 5,
# main = "Plot 1c: Frequency of the Sales Price Frequency",
# xlab = "Slaes Price Frequency",
# ylab = "Frequency",
# fill=I("blue"),
# col=I("red"),
# alpha=I(.2),
# xlim=c(0,30))##replace outliers with the mean value of the salessprice, change the variance but doesn'tchange the mean
# out.r = quantile(df.Num$SalePrice)[4] + 1.5*IQR(df.Num$SalePrice)
# out.l = quantile(df.Num$SalePrice)[1] - 1.5*IQR(df.Num$SalePrice)
# df[df['SalePrice']>=out.r]=mean(df[['SalePrice']])
# df[df['SalePrice']<=out.l]=mean(df[['SalePrice']])
###cleaning: eliminate low frequency entries (outliers type 1)
###cleaning: eliminate outliers using Q3+INQ
a = summary(df.Num)
class(a)## [1] "table"a = as.data.frame(a)
a.a = a[229:234,]$Freq
#include in r
a.a['1st Qu' %in% a.a]## factor(0)
## 189 Levels: 1st Qu.: 0.0 1st Qu.: 0.0 ... Min. :5.263e+08a.a[any('1st Qu'==a.a)]## factor(0)
## 189 Levels: 1st Qu.: 0.0 1st Qu.: 0.0 ... Min. :5.263e+08a.a[match('1st Qu',a.a)]## [1] <NA>
## 189 Levels: 1st Qu.: 0.0 1st Qu.: 0.0 ... Min. :5.263e+08##Feature Importance Test
#Random ForestCorrelation Analysis:
#correlation hypothesis test
#H0 : ρ = 0 no correlation between X and Y in the population
#H1 : ρ ≠ 0 there is a significant correlation between X and Y
#Data are quantitative and obtained from a random sample
#There are no (obvious) outliers: check visually in the X-Y plot
#X and Y are (approximately) normally distributed
#Scatter plot shows that the data are approximately linearly related
class(df.Num)## [1] "data.frame"#pairs(df.Num)
is.null(df.Num)## [1] FALSEdf.Num<-na.omit(df.Num)
correlation <- cor(df.Num)
corrplot(correlation, method="square",is.corr = FALSE,
main ="Plot 2a: Correlation Matrix of All Numeric Attributes",
mar = c(1, 2, 2, 1),
pch=4,
cl.ratio=0.4,
tl.cex = 0.5)#tl changes the label of the legendß
df1 <- rcorr(as.matrix(df.Num),type=c("pearson","spearman"))
df.r = as.data.frame(df1$r)
df.p = as.data.frame(df1$P)
df.r = df.r[order(df.r$SalePrice),]
df.p = df.p[order(df.p$SalePrice),]
#convert ordinal data into numeric data
# map every category columns to levels
lvls <- round(c(7,6,5,4,3,2,1)) #ordinal levels are always from excellent or finished to poor or unfinished, therefore the number is mapped from high to low
for (i in colnames(df.Ord)){
#print(df.Ord[[i]])
df.Ord[[i]] <- lvls[df.Ord[[i]]] #convert all into numeric data
}
##Special Custom Mapping
#House zoning mapping
lvls <- c(0,0,-1,3,1,0,2)
df.Ord$MS.Zoning<-lvls[df$MS.Zoning]
#Fense
lvls <- c(2,1,2,1,0)
df.Ord$MS.Zoning<-lvls[df$Fence]
#######
df.Ord <- as.data.frame(df.Ord)
describe(df.Ord)# construct a correlation with salesprice
#add the saleprice to the category(after conversion) dataset
df.Ord[ncol(df.Ord)+1] <- df[['SalePrice']]
str(df.Ord)## 'data.frame': 2392 obs. of 44 variables:
## $ MS.Zoning : num NA 2 2 NA NA NA NA NA 2 NA ...
## $ Street : num 6 6 6 6 6 6 6 6 6 6 ...
## $ Alley : num NA NA NA NA NA NA NA NA NA NA ...
## $ Lot.Shape : num 7 4 7 7 4 7 4 7 7 7 ...
## $ Land.Contour : num 4 4 4 4 4 6 4 4 4 4 ...
## $ Utilities : num 7 7 7 7 7 7 7 7 7 7 ...
## $ Lot.Config : num 7 3 3 3 3 3 3 7 3 3 ...
## $ Land.Slope : num 7 7 7 7 7 7 7 7 7 7 ...
## $ Neighborhood : num NA NA NA NA NA NA NA NA NA NA ...
## $ Condition.1 : num 5 6 5 5 5 5 5 5 5 5 ...
## $ Condition.2 : num 5 5 5 5 5 5 5 5 5 5 ...
## $ Bldg.Type : num 7 7 7 7 3 3 7 7 7 7 ...
## $ House.Style : num 5 5 2 2 5 5 2 2 5 2 ...
## $ Roof.Style : num 4 6 6 6 6 6 6 6 6 6 ...
## $ Roof.Matl : num 6 6 6 6 6 6 6 6 6 6 ...
## $ Exterior.1st : num 4 NA NA NA 2 1 NA 1 1 NA ...
## $ Exterior.2nd : num NA NA NA NA 2 1 NA 1 1 NA ...
## $ Mas.Vnr.Type : num 2 3 3 5 3 3 3 3 3 3 ...
## $ Exter.Qual : num 4 4 4 4 5 5 4 4 4 4 ...
## $ Exter.Cond : num 3 3 3 3 3 3 3 3 5 3 ...
## $ Foundation : num 6 6 5 5 5 5 5 5 5 5 ...
## $ Bsmt.Qual : num 2 2 4 2 4 4 2 4 4 4 ...
## $ Bsmt.Cond : num 4 2 2 2 2 2 2 2 2 2 ...
## $ Bsmt.Exposure : num 5 3 3 3 4 3 3 3 3 3 ...
## $ BsmtFin.Type.1: num 5 2 4 4 4 6 1 1 6 1 ...
## $ BsmtFin.Type.2: num 1 3 1 1 1 1 1 1 1 1 ...
## $ Heating : num 6 6 6 6 6 6 6 6 6 6 ...
## $ Heating.QC : num 6 3 5 7 7 7 5 5 7 5 ...
## $ Central.Air : num 6 6 6 6 6 6 6 6 6 6 ...
## $ Electrical : num 2 2 2 2 2 2 2 2 2 2 ...
## $ Kitchen.Qual : num 3 3 3 5 5 5 5 3 3 3 ...
## $ Functional : num NA NA NA NA NA NA NA NA NA NA ...
## $ Fireplace.Qu : num 5 NA 3 5 NA NA 3 3 NA 5 ...
## $ Garage.Type : num 6 6 6 6 6 6 6 6 6 6 ...
## $ Garage.Finish : num 6 4 6 6 6 5 6 6 6 6 ...
## $ Garage.Qual : num 2 2 2 2 2 2 2 2 2 2 ...
## $ Garage.Cond : num 2 2 2 2 2 2 2 2 2 2 ...
## $ Paved.Drive : num 6 5 5 5 5 5 5 5 5 5 ...
## $ Pool.QC : num NA NA NA NA NA NA NA NA NA NA ...
## $ Fence : num NA 5 5 NA NA NA NA NA 7 NA ...
## $ Misc.Feature : num NA NA NA NA NA NA NA NA 4 NA ...
## $ Sale.Type : num NA NA NA NA NA NA NA NA NA NA ...
## $ Sale.Condition: num 3 3 3 3 3 3 3 3 3 3 ...
## $ V44 : int 215000 105000 189900 195500 213500 191500 189000 175900 185000 180400 ...colnames(df.Ord)[ncol(df.Ord)] <- "SalePrice"
#######
###correlation analysis for ordinal data
#pairs(df.Ord)
correlation <- cor(df.Ord)
corrplot(correlation, method="square",
main ="Plot 2b: Correlation Matrix of All Ordinal Attributes",
mar = c(1, 2, 2, 1),
pch=4,
cl.ratio=0.4,
tl.cex = 0.5)#tl changes the label of the legendß
df1 <- rcorr(as.matrix(df.Ord),type=c("pearson","spearman"))## Warning in sqrt(npair - 2): NaNs produceddf.r = as.data.frame(df1$r)
df.p = as.data.frame(df1$P)
df.r = df.r[order(df.r$SalePrice),]
df.p = df.p[order(df.p$SalePrice),]
write.csv(as.data.frame(df.r),'correlationmatrixOrdinalRR.csv') #record ordered correlation
write.csv(as.data.frame(df.p),'correlationmatrixOrdinalPP.csv') #record ordered correlation
#############
#print(colnames(df.Num))
#Scatter Matrix
pairs(df.Num[,35:39], col=df.Num$SalePrice,mar = c(1, 2, 2, 1))
pairs(df.Num[,c(1,2,3,4,5,39)],col=df.Num$SalePrice,mar = c(1, 2, 2, 1))
pairs(df.Num[,c(6,7,8,9,10,39)],col=df.Num$SalePrice,mar = c(1, 2, 2, 1))
pairs(df.Num[,c(39,6,18,28,29,39)],col=df.Num$SalePrice,mar=c(1,2,2,1))
pairs(df.Num[,c(14,15,21,8,27,9,39)],col=df.Num$SalePrice,mar=c(1,2,2,1))
pairs(df.Num[,c(10,25,26,11,4,39)],col=df.Num$SalePrice,mar=c(1,2,2,1))
pairs(df.Num[,c(30,31,5,19,22,39)],col=df.Num$SalePrice,mar=c(1,2,2,1))
pairs(df.Num[,c( 16,13,23,34,39)],col=df.Num$SalePrice,mar=c(1,2,2,1)) 
#################
#print(colnames(df.Ord))
pairs(df.Ord[,c(44,39,19,31,22,35,28,34)],col=df.Num$SalePrice,mar=c(1,2,2,1))
pairs(df.Ord[,c(44,24,4,33,40,18,25,1)],col=df.Num$SalePrice,mar=c(1,2,2,1))
pairs(df.Ord[,c(10,17,20,36,37,13,43,44)],col=df.Num$SalePrice,mar=c(1,2,2,1))
pairs(df.Ord[,c(29,14,38,9,21,42,3,44)],col=df.Num$SalePrice,mar=c(1,2,2,1))
#write.csv(as.data.frame(df1$r),'correlationmatrixR.csv')
# write.csv(as.data.frame(df1$P),'correlationmatrixP.csv')
write.csv(as.data.frame(df.r),'correlationmatrixRR.csv') #record ordered correlation
write.csv(as.data.frame(df.p),'correlationmatrixPP.csv') #record ordered correlation####group data by player, adds a column that takes values 1, 2, 3,4,5 for 0-20%, >20-40%,>40-60%, >60-80%, >80-100% percentiles segmentation.
#df.Num <- df %>% mutate(odds_ntile = ntile(dfC$odds, 5))
#dfC <- dfC %>% mutate(date_ntile = ntile(dfC$date, 5))
#dfC <- dfC %>% mutate(season_ntile = ntile(dfC$season, 5))
##chi square matrix that record all p values, such that using the p valeus to identify every related columns
chisqmatrix <- function(x) {
names = colnames(x); num = length(names)
m = matrix(nrow=num,ncol=num,dimnames=list(names,names))
for (i in 1:(num-1)) {
for (j in (i+1):num) {
#if categoricaal, use xta,else chisq test
if(is.numeric(x[,i] | is.numeric(x[,j]))){
m[i,j] = chisq.test(x[,i],x[,j],)$p.value
#n[i,j]= chisq.test(x[,i],x[,j],)$residuals
}else{
m[i,j] = chisq.test(xtabs(~ x[,i] + x[,j], data = df,addNA = TRUE),)$p.value
}
}
}
return (m)
}
#selected the columns tht are useful
#dt<-dfC[,c(7,8,10,16,17,18,19,20,21,28,29,30,31,42,43,44,45)]
#dt
#dt[dt==0]<-NA
#mat = chisqmatrix(dt)
mat.db = chisqmatrix(df)## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors
## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors
## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors
## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors
## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors
## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors
## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect
## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrect## Warning in Ops.factor(x[, i], is.numeric(x[, j])): '|' not meaningful for
## factors## Warning in chisq.test(xtabs(~x[, i] + x[, j], data = df, addNA = TRUE), : Chi-
## squared approximation may be incorrecta<-count(mat.db)
a$Var1## NULLa$Var2## NULLa$Freq## NULL#write.csv(as.data.frame(mat.Num),'ChisqPValueMatrix.csv') #record p-value
#write.csv(as.data.frame(mat),'ChisqPValueMatrixFull.csv') #record p-value
write.csv(as.data.frame(mat.db),'ChisqPValueMatrixDB.csv') #record p-valueCreate a categorical variable to represent 5 quantiles of the SalePrice distribution. Conduct a Chi-square test of independence to validate whether SalePrice is dependent on the neighborhood location of the houses. Write a brief paragraph on your findings. Include a brief description of any technical difficulties faced and how you resolved them.
Quantile <- factor(c('0%','20%', '40%', '60%', '80%'))
q <- quantile(df$SalePrice,c(0.2,0.4,0.6,0.8))
#df$Quant<-factor(df$Quant,
# levels = c('0%','20%', '40%', '60%', '80%')
# )
# df$Quant[(df$SalePrice<q[2]) & (df$SalePrice>q[1])]<-'20%'
# df$Quant[(df$SalePrice<q[3]) & (df$SalePrice>q[2])]<-'40%'
# df$Quant[(df$SalePrice<q[4]) & (df$SalePrice>q[3])]<-'60%'
# df$Quant[(df$SalePrice>q[4])]<-'80%'
# df$Quant[is.na(df$SalePrice)]<-'0%'
# str(df$Quant)
# class(df$Quant)
mySample<-df
#using mutate() function to generate c
#ategorical values with respect to the quantiles of sale price. T
#his command will result in a column that takes
#values 1, 2, 3,4,5 for 0-20%, >20-40%,>40-60%, >60-80%, >80-100% percentiles segmentation.
mySample <- mySample %>% mutate(SalePrice_ntile = ntile(mySample$SalePrice, 5))
# specifying gross_ntile as factor
#mySample<- set_col_as_factor(mySample, cols=c("SalePrice_ntile"))
mySample$SalePrice_ntile## [1] 4 1 4 4 4 4 4 3 4 3 3 4 5 3 5 2 4 4 3 3 2 1 4 1 1 1 3 1 5 5 5 5 4 5 5 4 5
## [38] 4 5 5 5 4 4 3 4 4 4 4 5 5 5 5 5 4 5 4 4 4 5 5 5 4 3 4 4 1 2 4 1 2 2 1 2 3
## [75] 4 5 5 5 4 3 3 3 3 2 5 5 4 4 4 5 4 4 4 4 3 2 2 2 3 3 2 2 1 2 4 3 1 1 2 3 3
## [112] 3 4 2 2 3 2 2 3 1 3 1 1 1 2 1 3 5 2 3 3 2 3 2 3 1 1 1 1 2 1 1 1 2 1 1 3 2
## [149] 5 1 3 2 1 2 2 4 1 2 2 2 1 2 1 2 3 3 1 1 1 2 5 3 1 1 1 1 1 2 2 1 2 2 3 2 3
## [186] 3 5 5 1 2 5 4 2 2 4 5 5 4 4 5 4 4 4 5 2 3 3 4 4 3 2 2 5 5 4 5 4 2 2 4 4 4
## [223] 1 3 1 2 2 1 1 2 1 2 1 2 1 2 3 1 3 5 4 5 5 4 3 5 2 1 1 1 1 1 5 5 4 3 3 3 4
## [260] 3 3 5 4 4 5 3 2 3 1 1 1 1 1 1 1 2 3 3 3 2 3 5 4 2 3 5 4 4 5 3 5 5 5 3 4 4
## [297] 3 4 4 3 3 4 3 4 5 5 5 4 3 1 3 4 5 4 4 5 3 3 4 5 5 4 3 3 3 2 3 3 2 2 2 1 2
## [334] 1 2 1 1 1 2 2 3 1 2 2 2 1 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4
## [371] 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 3 4 3 3 3 3 4 3 3 3 4 4 4 4 4 3 4 4 5 3 3 4
## [408] 3 5 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 5 5 5 5 5 5
## [445] 5 4 4 3 3 2 4 4 3 2 3 4 4 5 4 3 3 1 1 1 2 2 1 2 2 2 1 1 5 4 5 3 3 4 3 3 3
## [482] 3 5 4 5 3 4 3 5 3 1 4 3 4 4 2 2 1 3 3 2 1 2 2 3 3 2 3 3 3 3 1 1 3 2 2 2 1
## [519] 5 4 4 1 1 3 3 3 2 3 1 3 2 3 3 2 2 2 1 3 1 2 1 1 3 2 2 1 2 3 1 1 2 3 1 1 1
## [556] 1 4 3 3 4 2 3 3 2 1 2 1 2 2 2 1 2 2 2 2 2 2 2 2 1 1 2 1 1 2 2 1 1 2 1 1 1
## [593] 1 1 1 1 1 1 5 1 3 1 2 1 1 1 4 3 4 2 1 2 2 1 2 1 1 1 2 1 1 1 3 4 3 3 3 1 1
## [630] 1 1 2 1 1 3 3 1 1 1 3 2 3 1 2 2 2 2 3 1 3 2 1 2 1 2 1 1 3 1 2 1 2 2 1 1 3
## [667] 5 5 4 5 2 1 3 2 1 1 2 3 1 5 5 5 5 5 5 5 5 4 5 5 4 4 3 5 4 3 4 4 4 2 2 4 4
## [704] 4 4 4 4 4 4 1 2 3 2 2 2 2 5 5 4 5 5 4 4 4 5 4 4 3 4 5 4 3 3 3 1 4 3 2 2 1
## [741] 1 1 1 1 1 1 1 1 1 3 3 2 4 1 2 2 3 3 2 2 4 3 3 3 3 4 2 3 4 3 4 2 1 1 4 4 2
## [778] 1 1 1 4 1 5 5 5 4 3 2 3 3 2 5 5 4 5 5 4 3 4 5 5 2 1 3 1 3 2 2 3 1 3 2 2 4
## [815] 3 3 4 4 4 3 3 5 5 4 4 4 4 4 4 5 5 5 5 2 4 3 4 4 4 5 3 3 2 5 3 3 4 3 5 2 3
## [852] 1 1 1 3 1 1 1 1 3 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 3
## [889] 3 4 4 4 4 3 4 3 4 4 4 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 5 5
## [926] 5 4 5 4 4 5 5 5 4 5 4 4 2 4 4 3 3 3 3 4 3 4 4 3 3 4 4 3 2 2 2 1 1 2 4 5 5
## [963] 4 3 2 3 3 5 5 5 3 4 3 4 5 5 3 4 3 4 3 2 4 2 2 2 2 2 2 2 3 5 4 3 1 2 3 3 2
## [1000] 2 3 3 2 3 1 1 1 1 2 2 1 4 2 3 3 4 2 2 4 3 3 3 2 2 2 3 2 1 1 2 1 1 2 1 2 1
## [1037] 3 4 2 5 1 1 1 2 3 2 2 1 2 2 3 1 2 3 2 2 1 3 1 1 1 1 4 1 1 3 1 1 2 2 1 1 1
## [1074] 1 5 2 3 2 1 1 2 2 2 3 3 2 1 1 1 2 1 1 2 1 1 3 1 1 3 1 3 1 1 1 1 3 1 2 1 2
## [1111] 4 3 2 3 2 1 1 2 2 1 2 1 1 2 1 2 2 2 2 1 2 2 1 3 1 1 1 3 2 4 3 4 2 1 2 3 3
## [1148] 4 5 5 5 3 2 4 4 1 2 1 1 1 1 5 5 4 4 3 5 5 4 4 4 2 2 4 4 4 4 4 4 4 4 2 3 3
## [1185] 2 2 3 1 2 2 4 4 4 4 4 5 5 5 5 4 5 4 4 4 4 4 4 3 4 4 4 3 2 3 2 1 2 1 2 3 2
## [1222] 3 3 5 3 3 1 1 1 1 1 1 2 2 1 1 1 2 2 3 3 2 4 3 2 3 2 1 4 1 2 3 4 1 1 5 5 5
## [1259] 5 4 1 3 1 1 1 1 1 2 1 3 1 1 1 1 1 5 5 5 5 5 4 3 3 1 4 5 5 5 5 5 4 3 4 3 4
## [1296] 4 5 5 5 4 4 2 3 3 1 2 1 1 3 1 1 2 2 2 2 3 2 3 1 3 3 5 5 4 3 3 3 5 3 3 3 3
## [1333] 3 3 3 3 4 5 5 5 3 5 5 5 5 4 3 3 3 4 4 4 4 3 4 4 3 3 3 3 4 2 1 1 2 1 2 3 1
## [1370] 1 1 1 1 2 3 2 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4
## [1407] 5 4 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 4 4 3 3 4 3 3 3 3 4 4 4 5 4 3 4 4 4 3 4
## [1444] 3 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 5 5 2 4 5 5 4 5 5 5 4 4 4 5
## [1481] 4 5 5 5 4 5 5 5 5 2 2 3 3 4 4 3 4 3 2 2 2 1 2 2 2 2 2 2 5 5 2 5 5 4 4 4 4
## [1518] 4 3 3 3 3 3 3 4 5 5 5 4 4 4 4 5 4 4 2 5 3 3 4 2 3 2 2 2 1 3 2 2 1 1 1 2 2
## [1555] 1 3 3 4 4 4 3 1 1 1 1 1 1 3 2 1 2 3 1 2 2 2 2 2 3 2 3 1 3 1 2 3 2 2 2 2 2
## [1592] 2 2 2 1 1 3 3 5 1 2 1 1 3 1 2 1 1 2 1 1 2 3 3 2 1 3 2 2 1 2 1 2 2 1 1 1 2
## [1629] 1 4 2 2 1 2 1 2 2 3 3 1 2 2 2 4 2 2 2 2 2 2 1 4 3 3 1 3 2 2 1 3 2 4 2 4 3
## [1666] 1 1 2 1 1 4 4 2 1 2 3 1 1 1 2 2 1 1 2 2 2 4 1 3 3 1 5 4 4 1 5 5 3 1 3 1 2
## [1703] 2 1 4 4 5 4 4 5 5 5 4 5 5 4 3 4 4 4 4 4 3 5 4 5 4 5 2 3 4 2 2 1 4 4 4 4 4
## [1740] 4 3 3 2 2 1 1 1 2 5 4 5 4 4 4 5 4 4 5 2 5 4 3 4 3 3 3 3 3 2 1 1 1 1 1 2 3
## [1777] 3 3 3 4 4 2 2 1 1 1 1 1 1 4 3 3 1 2 2 3 3 2 4 1 2 1 2 4 3 5 5 4 4 2 5 5 5
## [1814] 4 4 4 4 1 3 4 4 4 1 2 1 2 1 3 1 1 1 3 1 1 2 2 4 3 2 4 3 5 5 4 5 5 5 4 4 3
## [1851] 5 3 5 5 4 5 5 5 2 2 2 2 2 3 2 2 1 1 1 1 2 3 4 4 3 2 2 1 2 2 2 2 3 3 3 5 4
## [1888] 4 4 3 4 4 4 5 5 5 5 5 5 4 3 3 2 5 5 5 5 5 5 5 5 5 5 3 5 5 5 4 4 4 5 3 3 5
## [1925] 4 3 3 3 2 1 1 4 1 2 1 1 1 1 1 1 1 2 1 2 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
## [1962] 5 5 5 5 5 5 5 5 5 4 5 4 4 5 5 3 3 3 3 3 4 3 3 5 4 4 4 4 5 3 4 3 3 4 5 5 4
## [1999] 4 3 4 4 3 3 4 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 5 4 4 3 4 2 4 2 2 3 4
## [2036] 4 3 5 3 3 3 1 1 1 2 3 2 1 2 1 2 2 2 5 5 5 5 5 5 3 4 2 2 3 4 3 2 4 5 3 4 4
## [2073] 4 3 5 2 3 5 3 3 2 2 3 3 2 2 2 2 2 2 2 4 3 3 2 3 2 2 2 1 1 1 2 3 2 2 2 1 1
## [2110] 4 2 2 2 2 3 2 2 2 2 2 2 2 2 3 2 1 1 1 1 1 1 3 1 3 3 3 3 3 2 1 3 1 2 4 3 5
## [2147] 2 1 2 1 1 1 1 2 2 3 2 1 2 3 2 1 3 2 1 1 1 1 2 1 1 1 2 1 1 2 1 2 1 3 3 2 1
## [2184] 2 5 1 1 2 4 1 1 1 1 1 3 1 1 1 1 4 2 1 1 1 1 2 3 2 2 1 3 3 1 3 3 2 2 3 3 3
## [2221] 3 3 3 3 3 1 2 3 5 3 4 2 3 4 2 4 5 5 2 2 3 1 1 3 4 4 4 4 4 4 4 5 4 5 5 4 3
## [2258] 4 3 5 3 3 2 4 3 4 4 4 3 2 3 1 2 5 4 4 4 5 4 4 5 4 4 5 4 2 3 4 4 4 4 4 4 4
## [2295] 3 3 3 3 1 2 1 4 1 4 2 2 2 2 2 1 1 1 1 1 1 2 1 1 1 1 1 2 3 2 1 3 4 2 1 2 4
## [2332] 5 4 5 4 4 4 5 3 4 2 1 1 2 1 1 1 1 1 5 5 5 2 4 2 3 3 5 4 5 4 3 5 4 5 5 5 5
## [2369] 1 4 3 3 1 1 3 2 1 1 2 1 1 1 1 1 3 4 3 2 2 2 2 4####### Chi Square Indep
chisq <- chisq.test(df$SalePrice,df$Neighborhood)## Warning in chisq.test(df$SalePrice, df$Neighborhood): Chi-squared approximation
## may be incorrect#chisq$observed
#round(chisq$expected,2)
#round(chisq$residuals, 3)
# Chi Square Testing: Whether Gross Revenue is dependent on Content Rating
myChisq <- xtabs(~ mySample$SalePrice_ntile + mySample$Neighborhood, data = mySample)
myChisq #for printing the cross tabulation## mySample$Neighborhood
## mySample$SalePrice_ntile Blmngtn Blueste BrDale BrkSide ClearCr CollgCr Crawfor
## 1 0 4 24 44 1 7 5
## 2 0 1 2 26 3 30 14
## 3 11 2 0 12 9 35 15
## 4 14 1 0 7 11 104 30
## 5 3 0 0 0 13 41 22
## mySample$Neighborhood
## mySample$SalePrice_ntile Edwards Gilbert Greens GrnHill IDOTRR Landmrk MeadowV
## 1 73 0 0 0 51 0 25
## 2 39 2 0 0 15 1 3
## 3 20 60 1 0 5 0 1
## 4 10 61 6 1 2 0 0
## 5 5 11 0 1 0 0 0
## mySample$Neighborhood
## mySample$SalePrice_ntile Mitchel NAmes NoRidge NPkVill NridgHt NWAmes OldTown
## 1 6 72 0 2 0 2 106
## 2 36 151 0 10 0 9 49
## 3 34 95 0 4 4 41 24
## 4 14 22 3 0 28 35 4
## 5 8 9 63 0 125 11 4
## mySample$Neighborhood
## mySample$SalePrice_ntile Sawyer SawyerW Somerst StoneBr SWISU Timber Veenker
## 1 33 10 0 0 14 0 0
## 2 54 16 6 1 10 1 0
## 3 27 28 25 1 12 9 3
## 4 4 35 55 7 3 17 4
## 5 0 15 66 36 0 33 12chisq.test(myChisq) # running chi-square test## Warning in chisq.test(myChisq): Chi-squared approximation may be incorrect##
## Pearson's Chi-squared test
##
## data: myChisq
## X-squared = 2358.9, df = 108, p-value < 2.2e-16# here we write one single line of command to produce result xtabs is specified inside chisq.test()
chisq.test(xtabs(~ mySample$SalePrice_ntile + as.factor( mySample$Neighborhood), data = mySample)) ## Warning in chisq.test(xtabs(~mySample$SalePrice_ntile +
## as.factor(mySample$Neighborhood), : Chi-squared approximation may be incorrect##
## Pearson's Chi-squared test
##
## data: xtabs(~mySample$SalePrice_ntile + as.factor(mySample$Neighborhood), data = mySample)
## X-squared = 2358.9, df = 108, p-value < 2.2e-16# Initialize file path
file_path= "Correlation matrix.png"
png(height=1800, width=1800, file=file_path, type = "cairo")
corrplot(chisq$residuals, is.cor = FALSE)
# Then
dev.off()## quartz_off_screen
## 2########### ANOVA
# str(df$Exterior.1st)
# y<-df$SalePrice
# A<-df$Exterior.1st
# B<-df$Neighborhood
# class(B)
#
# X = count(B)[order(count(B)$freq),]
# write.csv(as.data.frame(X),'Frequency of Neighborhood.csv')
# Y = count(A)[order(count(A)$freq),]
# write.csv(as.data.frame(Y),'Frequency of Exterior.csv')
#
# ###drop categories with low freq
# B[levels(B)==c('Other','AsphShn','CBlock','Stone')]=0
# #B <- B[-c('Other','AsphShn','CBlock','Stone')] #drop levels
# new_B <- subset(B, levels(B)!=c('Other','AsphShn','CBlock','Stone'))
#
# #drop unused factor levels
# B <- droplevels(B)
# B<-new_B
# str(B)
#
# A[levels(A) == c('ImStucc','Stone','AsphShn','CBlock','BrkComm')]=0
# levels(A)
# new_A1<-A[-c(8,12,2,5,2)]
# length(new_A1) #2388
# length(A) #2392
# new_A <- subset(A, levels(A)!=c('ImStucc','Stone','AsphShn','CBlock','BrkComm'))
# length(new_A)#2243
# A <- droplevels(A)
# A<-new_A
#
# ##freqeuncy plot to see the category
# p.p<-ggplot(data.frame(X), aes(x=X$x,y=X$freq)) +
# geom_bar(stat="identity")
# #colour="black", fill="white")+
# #geom_density(alpha=.2, fill="#FF6666")
# p.p + ggtitle("Plot Tri 3. Expected Frequency") +
# xlab("Cost Benefit Ratio") + ylab("Density")
# ggsave("Plot5Alpha1.png")
#
#
# # Two Way Factorial Design
# fit <- aov(y ~ A + B + A:B, data=df)
# fit <- aov(y ~ A*B, data=df) # same thing
#
# png(file=file_path, type = "cairo")
# layout(matrix(c(1,2,3,4),2,2)) # optional layout
# # Initialize file path
# file_path= "Diagnostic Plot.png"
#
# plot(fit) # diagnostic plots
# dev.off()ANNOVA 2. Conduct a two-way ANOVA for “Sale Price” of houses in Ames, IA with respect to two independent factors – Neighborhood (use column Neighborhood), and Exterior Covering on house (use column 1st). Include interaction effects of Neighborhood and Exterior Covering in your analysis. Write a brief report on the findings. Include a brief description of any technical difficulties faced and how you resolved them.
# ########### ANOVA
#
# str(df$Exterior.1st)
# y<-df$SalePrice
# A<-df$Exterior.1st
# B<-df$Neighborhood
# class(B)
#
# X = count(B)[order(count(B)$freq),]
# write.csv(as.data.frame(X),'Frequency of Neighborhood.csv')
# Y = count(A)[order(count(A)$freq),]
# write.csv(as.data.frame(Y),'Frequency of Exterior.csv')
#
# ###drop categories with low freq
# B[levels(B)==c('Other','AsphShn','CBlock','Stone')]=0
# #B <- B[-c('Other','AsphShn','CBlock','Stone')] #drop levels
# new_B <- subset(B, levels(B)!=c('Other','AsphShn','CBlock','Stone'))
#
# #drop unused factor levels
# B <- droplevels(B)
# B<-new_B
# str(B)
#
# A[levels(A) == c('ImStucc','Stone','AsphShn','CBlock','BrkComm')]=0
# levels(A)
# new_A1<-A[-c(8,12,2,5,2)]
# length(new_A1) #2388
# length(A) #2392
# new_A <- subset(A, levels(A)!=c('ImStucc','Stone','AsphShn','CBlock','BrkComm'))
# length(new_A)#2243
# A <- droplevels(A)
# A<-new_A
#
# ##freqeuncy plot to see the category
# p.p<-ggplot(data.frame(X), aes(x=X$x,y=X$freq)) +
# geom_bar(stat="identity")
# #colour="black", fill="white")+
# #geom_density(alpha=.2, fill="#FF6666")
# p.p + ggtitle("Plot Tri 3. Expected Frequency") +
# xlab("Cost Benefit Ratio") + ylab("Density")
# ggsave("Plot5Alpha1.png")
#
#
# # Two Way Factorial Design
# fit <- aov(y ~ A + B + A:B, data=df)
# fit <- aov(y ~ A*B, data=df) # same thing
#
# png(file=file_path, type = "cairo")
# layout(matrix(c(1,2,3,4),2,2)) # optional layout
# # Initialize file path
# file_path= "Diagnostic Plot.png"
#
# plot(fit) # diagnostic plots
# dev.off()
# #############################
#
# two_way_fit <- aov(y ~ A + as.factor(B), data=df)
# two_way_fit2 <- aov(y ~ A + B, data=df)
# summary(two_way_fit)
# summary(two_way_fit2)
# capture_a <- summary(two_way_fit2)
# capture.output(capture_a, file = "anova results.txt")
# #write.csv(as.data.frame(summary(two_way_fit2)),'Two_Way_Fit') #record ordered correlation
# A
# B
# y
#
# file_path= "Correlation matrix.png"
# png(file=file_path, type = "cairo")
# interaction.plot(x.factor = B[0:1000], #x-axis variable
# trace.factor = A[0:1000], #variable for lines
# response = y[0:1000], #y-axis variable
# fun = mean, #metric to plot
# ylab = "Sale Price ($)",
# xlab = "Neighborhood",
# col = c("red", "blue", "cyan", "yellow", "green"),
# lty = 1, #line type
# lwd = 2, #line width
# trace.label = "Exterior")
#
# dev.off()
#
# #coiefficent for attributes that are selected, explainatory variables, df.num[,c(6,'gr.liv.area'
#'Garage.Cars','Garage.Area']c(6,18,28,29)
#df.num[,4]
#mutate_if(is.numeric, ~replace(., is.na(df.Ord), 0))
#df.Ord[is.na(df.Ord)] <- mean(df.Ord) #replace all NA values in ordinal levels to be 0, didn't replace to the mean value because it only helps with the residue data
#df.Ord[is.na(df.Ord[,35])]=NA #mark all 0 values into na attributes so they can be deleted.
#df.Ord=sample_n(df.Ord,300,replace=F)
#df.Num=sample_n(df.Ord,300,replace=F)
model1 <- lm(SalePrice ~ df.Num[,6], data = df.Num)#overall qual
model2 <- lm(SalePrice ~ df.Num[,18], data = df.Num)#above grade(level 1) area,g area (square feet)
model3 <- lm(SalePrice ~ df.Num[,28], data = df.Num)#Size of garage in car capacity,discrete
model4 <- lm(SalePrice ~ df.Num[,29], data = df.Num)#Size of garage in square feet,continuous
model5 <- lm(SalePrice ~ df.Ord[,39], data = df.Ord)#pool
model6 <- lm(SalePrice ~ df.Ord[,19], data = df.Ord)#exterior
model7 <- lm(SalePrice ~ df.Ord[,31], data = df.Ord)#kitchen
model8 <- lm(SalePrice ~ df.Ord[,22], data = df.Ord)#bsmt
model9 <- lm(SalePrice ~ df.Ord[,35], data = df.Ord)#garage finish
#time to multi linear this so we can test multicolinearity
model10 <- lm(df.Num[,39]~df.Num[,6]+df.Num[,18]+df.Ord[,35])#OC+living area+GF
model11 <- lm(df.Num[,39]~df.Num[,6]+df.Num[,31]+df.Ord[,22])# emplore multicolinearity bc we know kichen and bsmt quality are related
#model1$coefficients
#summary of all of the models
print('overall qual')## [1] "overall qual"summary(model1)##
## Call:
## lm(formula = SalePrice ~ df.Num[, 6], data = df.Num)
##
## Residuals:
## Min 1Q Median 3Q Max
## -205361 -29931 -2356 22169 389639
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -103649.8 4454.5 -23.27 <2e-16 ***
## df.Num[, 6] 46901.1 705.2 66.50 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 49890 on 2390 degrees of freedom
## Multiple R-squared: 0.6492, Adjusted R-squared: 0.649
## F-statistic: 4423 on 1 and 2390 DF, p-value: < 2.2e-16print('Above grade (ground) living area (square feet)')## [1] "Above grade (ground) living area (square feet)"summary(model2)##
## Call:
## lm(formula = SalePrice ~ df.Num[, 18], data = df.Num)
##
## Residuals:
## Min 1Q Median 3Q Max
## -500835 -30802 -2250 24079 329131
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 9700.625 3710.558 2.614 0.009 **
## df.Num[, 18] 115.408 2.314 49.873 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 58960 on 2390 degrees of freedom
## Multiple R-squared: 0.51, Adjusted R-squared: 0.5098
## F-statistic: 2487 on 1 and 2390 DF, p-value: < 2.2e-16print('Size of garage in square feet,continuous')## [1] "Size of garage in square feet,continuous"summary(model4)##
## Call:
## lm(formula = SalePrice ~ df.Num[, 29], data = df.Num)
##
## Residuals:
## Min 1Q Median 3Q Max
## -299754 -35764 -5179 26253 481160
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 64681.217 3089.068 20.94 <2e-16 ***
## df.Num[, 29] 251.393 5.873 42.81 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 63370 on 2390 degrees of freedom
## Multiple R-squared: 0.434, Adjusted R-squared: 0.4337
## F-statistic: 1832 on 1 and 2390 DF, p-value: < 2.2e-16print('Pool Quality')## [1] "Pool Quality"summary(model5)##
## Call:
## lm(formula = SalePrice ~ df.Ord[, 39], data = df.Ord)
##
## Residuals:
## Min 1Q Median 3Q Max
## -228155 -82224 15318 55323 281845
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -330568 211036 -1.566 0.148
## df.Ord[, 39] 113389 38161 2.971 0.014 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 147400 on 10 degrees of freedom
## (2380 observations deleted due to missingness)
## Multiple R-squared: 0.4689, Adjusted R-squared: 0.4158
## F-statistic: 8.829 on 1 and 10 DF, p-value: 0.01401# summary(model5)
# summary(model6)
# summary(model7)
# summary(model8)
print('Garage Finish Quality')## [1] "Garage Finish Quality"summary(model9)##
## Call:
## lm(formula = SalePrice ~ df.Ord[, 35], data = df.Ord)
##
## Residuals:
## Min 1Q Median 3Q Max
## -167691 -42752 -10313 27148 504809
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -64443 8938 -7.21 7.61e-13 ***
## df.Ord[, 35] 52439 1818 28.84 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 71680 on 2255 degrees of freedom
## (135 observations deleted due to missingness)
## Multiple R-squared: 0.2694, Adjusted R-squared: 0.2691
## F-statistic: 831.6 on 1 and 2255 DF, p-value: < 2.2e-16print('MLM 1')## [1] "MLM 1"summary(model10)##
## Call:
## lm(formula = df.Num[, 39] ~ df.Num[, 6] + df.Num[, 18] + df.Ord[,
## 35])
##
## Residuals:
## Min 1Q Median 3Q Max
## -408535 -25395 -1983 20230 272980
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -1.510e+05 5.467e+03 -27.613 <2e-16 ***
## df.Num[, 6] 3.133e+04 8.563e+02 36.586 <2e-16 ***
## df.Num[, 18] 6.056e+01 2.125e+00 28.500 <2e-16 ***
## df.Ord[, 35] 1.075e+04 1.269e+03 8.469 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 42340 on 2253 degrees of freedom
## (135 observations deleted due to missingness)
## Multiple R-squared: 0.7453, Adjusted R-squared: 0.7449
## F-statistic: 2197 on 3 and 2253 DF, p-value: < 2.2e-16#model1$residuals
print('MLM 2')## [1] "MLM 2"summary(model11)##
## Call:
## lm(formula = df.Num[, 39] ~ df.Num[, 6] + df.Num[, 31] + df.Ord[,
## 22])
##
## Residuals:
## Min 1Q Median 3Q Max
## -228898 -29123 -2430 21920 384767
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -105058.37 4515.55 -23.27 < 2e-16 ***
## df.Num[, 6] 39691.39 904.69 43.87 < 2e-16 ***
## df.Num[, 31] 77.13 15.71 4.91 9.73e-07 ***
## df.Ord[, 22] 12420.25 935.27 13.28 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 47850 on 2321 degrees of freedom
## (67 observations deleted due to missingness)
## Multiple R-squared: 0.6766, Adjusted R-squared: 0.6762
## F-statistic: 1619 on 3 and 2321 DF, p-value: < 2.2e-16#count(df.Num$Overall.Qual)#build the model with all predictors,regardless correlation
df.Ord[is.na(df.Ord)]=0
modelCompNum <- lm(SalePrice ~., data = na.omit(df.Num),singular.ok = TRUE)
modelCompOrd <- lm(SalePrice ~., data = na.exclude(df.Ord),singular.ok = TRUE)
#car::vif(modelCompNum)
ols_num<-ols_vif_tol(modelCompNum)
ols_ord<-ols_vif_tol(modelCompOrd)
write.csv(ols_num,'NumOLSVif.csv')
write.csv(ols_ord,'OrdOLSVif.csv')
#write.csv(alias.mod,'AllPredictorAlias.csv')
ols_plot_resid_fit_spread(modelCompNum)
ols_plot_obs_fit(modelCompNum)
ols_plot_obs_fit(model11)
ols_plot_added_variable(model10)## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
## `geom_smooth()` using formula 'y ~ x'
ols_plot_diagnostics(model10)
alias(modelCompNum,complete = TRUE, partial = FALSE,
partial.pattern = FALSE)## Model :
## SalePrice ~ Order + PID + MS.SubClass + Lot.Frontage + Lot.Area +
## Overall.Qual + Overall.Cond + Year.Built + Year.Remod.Add +
## Mas.Vnr.Area + BsmtFin.SF.1 + BsmtFin.SF.2 + Bsmt.Unf.SF +
## Total.Bsmt.SF + X1st.Flr.SF + X2nd.Flr.SF + Low.Qual.Fin.SF +
## Gr.Liv.Area + Bsmt.Full.Bath + Bsmt.Half.Bath + Full.Bath +
## Half.Bath + Bedroom.AbvGr + Kitchen.AbvGr + TotRms.AbvGrd +
## Fireplaces + Garage.Yr.Blt + Garage.Cars + Garage.Area +
## Wood.Deck.SF + Open.Porch.SF + Enclosed.Porch + X3Ssn.Porch +
## Screen.Porch + Pool.Area + Misc.Val + Mo.Sold + Yr.Sold
##
## Complete :
## (Intercept) Order PID MS.SubClass Lot.Frontage Lot.Area
## Total.Bsmt.SF 0 0 0 0 0 0
## Gr.Liv.Area 0 0 0 0 0 0
## Overall.Qual Overall.Cond Year.Built Year.Remod.Add Mas.Vnr.Area
## Total.Bsmt.SF 0 0 0 0 0
## Gr.Liv.Area 0 0 0 0 0
## BsmtFin.SF.1 BsmtFin.SF.2 Bsmt.Unf.SF X1st.Flr.SF X2nd.Flr.SF
## Total.Bsmt.SF 1 1 1 0 0
## Gr.Liv.Area 0 0 0 1 1
## Low.Qual.Fin.SF Bsmt.Full.Bath Bsmt.Half.Bath Full.Bath Half.Bath
## Total.Bsmt.SF 0 0 0 0 0
## Gr.Liv.Area 1 0 0 0 0
## Bedroom.AbvGr Kitchen.AbvGr TotRms.AbvGrd Fireplaces
## Total.Bsmt.SF 0 0 0 0
## Gr.Liv.Area 0 0 0 0
## Garage.Yr.Blt Garage.Cars Garage.Area Wood.Deck.SF Open.Porch.SF
## Total.Bsmt.SF 0 0 0 0 0
## Gr.Liv.Area 0 0 0 0 0
## Enclosed.Porch X3Ssn.Porch Screen.Porch Pool.Area Misc.Val
## Total.Bsmt.SF 0 0 0 0 0
## Gr.Liv.Area 0 0 0 0 0
## Mo.Sold Yr.Sold
## Total.Bsmt.SF 0 0
## Gr.Liv.Area 0 0alias(modelCompOrd,complete = TRUE, partial = FALSE,
partial.pattern = FALSE)## Model :
## SalePrice ~ MS.Zoning + Street + Alley + Lot.Shape + Land.Contour +
## Utilities + Lot.Config + Land.Slope + Neighborhood + Condition.1 +
## Condition.2 + Bldg.Type + House.Style + Roof.Style + Roof.Matl +
## Exterior.1st + Exterior.2nd + Mas.Vnr.Type + Exter.Qual +
## Exter.Cond + Foundation + Bsmt.Qual + Bsmt.Cond + Bsmt.Exposure +
## BsmtFin.Type.1 + BsmtFin.Type.2 + Heating + Heating.QC +
## Central.Air + Electrical + Kitchen.Qual + Functional + Fireplace.Qu +
## Garage.Type + Garage.Finish + Garage.Qual + Garage.Cond +
## Paved.Drive + Pool.QC + Fence + Misc.Feature + Sale.Type +
## Sale.ConditionResidue Plot
# ###Best
# model.diag.metrics <- augment(model1)
# #residue plot against the highest R2 and F, OC
# ggplot(model.diag.metrics, aes(df.Num[, 6], SalePrice)) +
# geom_point() +
# stat_smooth(method = lm, se = FALSE) +
# geom_segment(aes(xend = df.Num[,6], yend = .fitted), color = "red", size = 0.3)+
# xlab('Overall Quality')
# ggsave('HighestR2ResiduePlot.png')
#
# ##worst R2: Garagew Finish
# model.diag.metrics <- augment(model9)
# #residue plot against the highest R2 and F, OC
# ggplot(model.diag.metrics, aes(unlist(model.diag.metrics[,3]), SalePrice)) +
# geom_point() +
# stat_smooth(method = lm, se = FALSE) +
# geom_segment(aes(xend =unlist(model.diag.metrics[,3]) , yend = .fitted), color = "red", size = 0.3)+
# xlab('Garage Finish')
# ggsave('LowestR2ResiduePlot.png')
#
#
# #worst t-stat: Pool Quality
# model.diag.metrics <- augment(model5)
# #residue plot against the highest R2 and F, OC
# ggplot(model.diag.metrics, aes(unlist(model.diag.metrics[,3]), SalePrice)) +
# geom_point() +
# stat_smooth(method = lm, se = FALSE) +
# geom_segment(aes(xend =unlist(model.diag.metrics[,3]) , yend = .fitted), color = "red", size = 0.3)+
# xlab('Pool Quality')
# ggsave('LowestTValueResiduePlot.png')
#
df.Ord[df.Ord==0]=NA
# ###Best
ggplot(df.Num, aes(df.Num$Overall.Qual, model1$residuals)) +
geom_point() +
stat_smooth(method = lm, se = FALSE) +
geom_segment(aes(xend =df.Num$Overall.Qual , yend = model1$residuals ), color = "red", size = 0.3)+
xlab('Overall Quality')+
ggtitle('Overall Quality vs the Residues')## Warning: Use of `df.Num$Overall.Qual` is discouraged. Use `Overall.Qual`
## instead.
## Warning: Use of `df.Num$Overall.Qual` is discouraged. Use `Overall.Qual`
## instead.
## Warning: Use of `df.Num$Overall.Qual` is discouraged. Use `Overall.Qual`
## instead.
## Warning: Use of `df.Num$Overall.Qual` is discouraged. Use `Overall.Qual`
## instead.## `geom_smooth()` using formula 'y ~ x'
ggsave('HighestR2ResiduePlot2.png')## Saving 7 x 5 in image## Warning: Use of `df.Num$Overall.Qual` is discouraged. Use `Overall.Qual`
## instead.
## Warning: Use of `df.Num$Overall.Qual` is discouraged. Use `Overall.Qual`
## instead.
## Warning: Use of `df.Num$Overall.Qual` is discouraged. Use `Overall.Qual`
## instead.
## Warning: Use of `df.Num$Overall.Qual` is discouraged. Use `Overall.Qual`
## instead.## `geom_smooth()` using formula 'y ~ x' ggplot(df.Num, aes(df.Num$Gr.Liv.Area, model2$residuals)) +
geom_point() +
stat_smooth(method = lm, se = FALSE) +
geom_segment(aes(xend =df.Num$Gr.Liv.Area , yend = model2$residuals ), color = "red", size = 0.3)+
xlab('Above Ground Living Area')+
ggtitle('Living Area vs the Residues')## Warning: Use of `df.Num$Gr.Liv.Area` is discouraged. Use `Gr.Liv.Area` instead.## Warning: Use of `df.Num$Gr.Liv.Area` is discouraged. Use `Gr.Liv.Area` instead.
## Warning: Use of `df.Num$Gr.Liv.Area` is discouraged. Use `Gr.Liv.Area` instead.
## Warning: Use of `df.Num$Gr.Liv.Area` is discouraged. Use `Gr.Liv.Area` instead.## `geom_smooth()` using formula 'y ~ x'
ggsave('HighestR2ResiduePlot1.png')## Saving 7 x 5 in image## Warning: Use of `df.Num$Gr.Liv.Area` is discouraged. Use `Gr.Liv.Area` instead.
## Warning: Use of `df.Num$Gr.Liv.Area` is discouraged. Use `Gr.Liv.Area` instead.
## Warning: Use of `df.Num$Gr.Liv.Area` is discouraged. Use `Gr.Liv.Area` instead.
## Warning: Use of `df.Num$Gr.Liv.Area` is discouraged. Use `Gr.Liv.Area` instead.## `geom_smooth()` using formula 'y ~ x' ##worst R2: Garage Finish
ggplot(na.omit(df.Ord), aes(na.omit(df.Ord$Garage.Finish), model9$residuals)) +
geom_point() +
stat_smooth(method = lm, se = FALSE) +
geom_segment(aes(xend =na.omit(df.Ord$Garage.Finish) , yend = model9$residuals ), color = "red", size = 0.3)+
xlab('Garage Finish')+
ggtitle('Garage Finish vs the Residues')## `geom_smooth()` using formula 'y ~ x'
ggsave('LowestR2ResiduePlot1.png')## Saving 7 x 5 in image
## `geom_smooth()` using formula 'y ~ x' kurtosis(model9$residuals)## [1] 8.608492 skewness(model9$residuals)## [1] 1.642045 #worst t-stat: Pool Quality
ggplot(na.omit(df.Ord), aes(na.omit(df.Ord$Pool.QC), model5$residuals)) +
geom_point() +
stat_smooth(method = lm, se = FALSE) +
geom_segment(aes(xend =na.omit(df.Ord$Pool.QC) , yend = model5$residuals ), color = "red", size = 0.3)+
xlab('Pool Quality')+
ggtitle('Pool Quality vs the Residues')## `geom_smooth()` using formula 'y ~ x'
ggsave('LowestTvalueResuePlot1.png')## Saving 7 x 5 in image
## `geom_smooth()` using formula 'y ~ x'PLot the QQ Plot as well as other diagnostic plot
plot(model1, 1)
plot(model2,1)
dev.off()## null device
## 1##overall qual
png('QQPLotOverallQual.png')
plot(model1, 2,id.n = 5)
dev.off()## null device
## 1#living size
png('QQPLotLiving.png')
plot(model2, 2,id.n = 5)
dev.off()## null device
## 1#pool quality
png('QQPLotPoolQual.png')
plot(model5, 2,id.n = 5)
dev.off()## null device
## 1#garage finish
png('QQPlotGarageFinishl.png')
plot(model9,2,id.n = 5)
dev.off()## null device
## 1